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Finding the Fourth Proportional to 156,129.46, 215,459.19 and 84,509.46

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Solution

The fourth proportional to 156,129.46, 215,459.19 and 84,509.46 is: 116,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,129.46 : 215,459.19 = 84,509.46 : x
  2. Step 2: Convert to fraction form
    156,129.46/215,459.19 = 84,509.46/x
  3. Step 3: Cross multiply
    156,129.46x = 215,459.19 × 84,509.46
  4. Step 4: Simplify right side
    156,129.46x = 18,208,339,798.94
  5. Step 5: Solve for x
    x = 18,208,339,798.94/156,129.46
  6. Step 6: Final answer
    x = 116,623.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.