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Finding the Fourth Proportional to 157,655.42, 217,569.06 and 86,040.06

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Solution

The fourth proportional to 157,655.42, 217,569.06 and 86,040.06 is: 118,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,655.42 : 217,569.06 = 86,040.06 : x
  2. Step 2: Convert to fraction form
    157,655.42/217,569.06 = 86,040.06/x
  3. Step 3: Cross multiply
    157,655.42x = 217,569.06 × 86,040.06
  4. Step 4: Simplify right side
    157,655.42x = 18,719,653,888.70
  5. Step 5: Solve for x
    x = 18,719,653,888.70/157,655.42
  6. Step 6: Final answer
    x = 118,737.78

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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.