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Finding the Fourth Proportional to 157,322.70, 217,070.82 and 102,887.46

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Solution

The fourth proportional to 157,322.70, 217,070.82 and 102,887.46 is: 141,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,322.70 : 217,070.82 = 102,887.46 : x
  2. Step 2: Convert to fraction form
    157,322.70/217,070.82 = 102,887.46/x
  3. Step 3: Cross multiply
    157,322.70x = 217,070.82 × 102,887.46
  4. Step 4: Simplify right side
    157,322.70x = 22,333,865,309.92
  5. Step 5: Solve for x
    x = 22,333,865,309.92/157,322.70
  6. Step 6: Final answer
    x = 141,962.13

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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.