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Finding the Fourth Proportional to 115,410, 159,265.84 and 62,418

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Solution

The fourth proportional to 115,410, 159,265.84 and 62,418 is: 86,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,410 : 159,265.84 = 62,418 : x
  2. Step 2: Convert to fraction form
    115,410/159,265.84 = 62,418/x
  3. Step 3: Cross multiply
    115,410x = 159,265.84 × 62,418
  4. Step 4: Simplify right side
    115,410x = 9,941,055,201.12
  5. Step 5: Solve for x
    x = 9,941,055,201.12/115,410
  6. Step 6: Final answer
    x = 86,136.86

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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.