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Finding the Fourth Proportional to 115,264, 159,064.32 and 62,272

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Solution

The fourth proportional to 115,264, 159,064.32 and 62,272 is: 85,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264 : 159,064.32 = 62,272 : x
  2. Step 2: Convert to fraction form
    115,264/159,064.32 = 62,272/x
  3. Step 3: Cross multiply
    115,264x = 159,064.32 × 62,272
  4. Step 4: Simplify right side
    115,264x = 9,905,253,335.04
  5. Step 5: Solve for x
    x = 9,905,253,335.04/115,264
  6. Step 6: Final answer
    x = 85,935.36

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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.