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Finding the Fourth Proportional to 189,571,383.48, 284,459,951.70 and 80,457,929.40

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Solution

The fourth proportional to 189,571,383.48, 284,459,951.70 and 80,457,929.40 is: 120,730,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,571,383.48 : 284,459,951.70 = 80,457,929.40 : x
  2. Step 2: Convert to fraction form
    189,571,383.48/284,459,951.70 = 80,457,929.40/x
  3. Step 3: Cross multiply
    189,571,383.48x = 284,459,951.70 × 80,457,929.40
  4. Step 4: Simplify right side
    189,571,383.48x = 22,887,058,711,006,012
  5. Step 5: Solve for x
    x = 22,887,058,711,006,012/189,571,383.48
  6. Step 6: Final answer
    x = 120,730,556.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.