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Finding the Fourth Proportional to 310,750.64, 466,149.45 and 86,108.48

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Solution

The fourth proportional to 310,750.64, 466,149.45 and 86,108.48 is: 129,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,750.64 : 466,149.45 = 86,108.48 : x
  2. Step 2: Convert to fraction form
    310,750.64/466,149.45 = 86,108.48/x
  3. Step 3: Cross multiply
    310,750.64x = 466,149.45 × 86,108.48
  4. Step 4: Simplify right side
    310,750.64x = 40,139,420,592.34
  5. Step 5: Solve for x
    x = 40,139,420,592.34/310,750.64
  6. Step 6: Final answer
    x = 129,169.23

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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.