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Finding the Fourth Proportional to 157,762.31, 217,712.25 and 86,140.80

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Solution

The fourth proportional to 157,762.31, 217,712.25 and 86,140.80 is: 118,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,762.31 : 217,712.25 = 86,140.80 : x
  2. Step 2: Convert to fraction form
    157,762.31/217,712.25 = 86,140.80/x
  3. Step 3: Cross multiply
    157,762.31x = 217,712.25 × 86,140.80
  4. Step 4: Simplify right side
    157,762.31x = 18,753,907,384.80
  5. Step 5: Solve for x
    x = 18,753,907,384.80/157,762.31
  6. Step 6: Final answer
    x = 118,874.45

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1.5x scale

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.