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Finding the Fourth Proportional to 157,461.87, 217,332.42 and 100,089.98

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Solution

The fourth proportional to 157,461.87, 217,332.42 and 100,089.98 is: 138,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,461.87 : 217,332.42 = 100,089.98 : x
  2. Step 2: Convert to fraction form
    157,461.87/217,332.42 = 100,089.98/x
  3. Step 3: Cross multiply
    157,461.87x = 217,332.42 × 100,089.98
  4. Step 4: Simplify right side
    157,461.87x = 21,752,796,924.15
  5. Step 5: Solve for x
    x = 21,752,796,924.15/157,461.87
  6. Step 6: Final answer
    x = 138,146.44

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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.