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Finding the Fourth Proportional to 157,356.92, 217,155.12 and 85,739.96

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Solution

The fourth proportional to 157,356.92, 217,155.12 and 85,739.96 is: 118,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356.92 : 217,155.12 = 85,739.96 : x
  2. Step 2: Convert to fraction form
    157,356.92/217,155.12 = 85,739.96/x
  3. Step 3: Cross multiply
    157,356.92x = 217,155.12 × 85,739.96
  4. Step 4: Simplify right side
    157,356.92x = 18,618,871,302.60
  5. Step 5: Solve for x
    x = 18,618,871,302.60/157,356.92
  6. Step 6: Final answer
    x = 118,322.55

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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.