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Finding the Fourth Proportional to 102,115.52, 153,016.80 and 68,712

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Solution

The fourth proportional to 102,115.52, 153,016.80 and 68,712 is: 102,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.52 : 153,016.80 = 68,712 : x
  2. Step 2: Convert to fraction form
    102,115.52/153,016.80 = 68,712/x
  3. Step 3: Cross multiply
    102,115.52x = 153,016.80 × 68,712
  4. Step 4: Simplify right side
    102,115.52x = 10,514,090,361.60
  5. Step 5: Solve for x
    x = 10,514,090,361.60/102,115.52
  6. Step 6: Final answer
    x = 102,962.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.