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Finding the Fourth Proportional to 157,029, 216,702.18 and 89,961

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Solution

The fourth proportional to 157,029, 216,702.18 and 89,961 is: 124,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,029 : 216,702.18 = 89,961 : x
  2. Step 2: Convert to fraction form
    157,029/216,702.18 = 89,961/x
  3. Step 3: Cross multiply
    157,029x = 216,702.18 × 89,961
  4. Step 4: Simplify right side
    157,029x = 19,494,744,814.98
  5. Step 5: Solve for x
    x = 19,494,744,814.98/157,029
  6. Step 6: Final answer
    x = 124,147.42

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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.