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Finding the Fourth Proportional to 157,840.30, 217,824.29 and 86,221.50

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Solution

The fourth proportional to 157,840.30, 217,824.29 and 86,221.50 is: 118,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840.30 : 217,824.29 = 86,221.50 : x
  2. Step 2: Convert to fraction form
    157,840.30/217,824.29 = 86,221.50/x
  3. Step 3: Cross multiply
    157,840.30x = 217,824.29 × 86,221.50
  4. Step 4: Simplify right side
    157,840.30x = 18,781,137,020.24
  5. Step 5: Solve for x
    x = 18,781,137,020.24/157,840.30
  6. Step 6: Final answer
    x = 118,988.22

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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.