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Finding the Fourth Proportional to 105,857.92, 146,078.47 and 62,839.23

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Solution

The fourth proportional to 105,857.92, 146,078.47 and 62,839.23 is: 86,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857.92 : 146,078.47 = 62,839.23 : x
  2. Step 2: Convert to fraction form
    105,857.92/146,078.47 = 62,839.23/x
  3. Step 3: Cross multiply
    105,857.92x = 146,078.47 × 62,839.23
  4. Step 4: Simplify right side
    105,857.92x = 9,179,458,574.38
  5. Step 5: Solve for x
    x = 9,179,458,574.38/105,857.92
  6. Step 6: Final answer
    x = 86,714.90

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1.5x scale

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.