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Finding the Fourth Proportional to 157,507.72, 217,355.88 and 85,889.14

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Solution

The fourth proportional to 157,507.72, 217,355.88 and 85,889.14 is: 118,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,507.72 : 217,355.88 = 85,889.14 : x
  2. Step 2: Convert to fraction form
    157,507.72/217,355.88 = 85,889.14/x
  3. Step 3: Cross multiply
    157,507.72x = 217,355.88 × 85,889.14
  4. Step 4: Simplify right side
    157,507.72x = 18,668,509,607.14
  5. Step 5: Solve for x
    x = 18,668,509,607.14/157,507.72
  6. Step 6: Final answer
    x = 118,524.41

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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.