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Finding the Fourth Proportional to 115,424, 159,285.44 and 62,432

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Solution

The fourth proportional to 115,424, 159,285.44 and 62,432 is: 86,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,424 : 159,285.44 = 62,432 : x
  2. Step 2: Convert to fraction form
    115,424/159,285.44 = 62,432/x
  3. Step 3: Cross multiply
    115,424x = 159,285.44 × 62,432
  4. Step 4: Simplify right side
    115,424x = 9,944,508,590.08
  5. Step 5: Solve for x
    x = 9,944,508,590.08/115,424
  6. Step 6: Final answer
    x = 86,156.33

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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.