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Finding the Fourth Proportional to 157,321.88, 217,098.72 and 85,700.06

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Solution

The fourth proportional to 157,321.88, 217,098.72 and 85,700.06 is: 118,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.88 : 217,098.72 = 85,700.06 : x
  2. Step 2: Convert to fraction form
    157,321.88/217,098.72 = 85,700.06/x
  3. Step 3: Cross multiply
    157,321.88x = 217,098.72 × 85,700.06
  4. Step 4: Simplify right side
    157,321.88x = 18,605,373,329.92
  5. Step 5: Solve for x
    x = 18,605,373,329.92/157,321.88
  6. Step 6: Final answer
    x = 118,263.10

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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.