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Finding the Fourth Proportional to 157,745, 217,707.18 and 89,778.48

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Solution

The fourth proportional to 157,745, 217,707.18 and 89,778.48 is: 123,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,745 : 217,707.18 = 89,778.48 : x
  2. Step 2: Convert to fraction form
    157,745/217,707.18 = 89,778.48/x
  3. Step 3: Cross multiply
    157,745x = 217,707.18 × 89,778.48
  4. Step 4: Simplify right side
    157,745x = 19,545,419,705.49
  5. Step 5: Solve for x
    x = 19,545,419,705.49/157,745
  6. Step 6: Final answer
    x = 123,905.16

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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.