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Finding the Fourth Proportional to 83,691.51, 115,466.17 and 47,388.01

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Solution

The fourth proportional to 83,691.51, 115,466.17 and 47,388.01 is: 65,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.51 : 115,466.17 = 47,388.01 : x
  2. Step 2: Convert to fraction form
    83,691.51/115,466.17 = 47,388.01/x
  3. Step 3: Cross multiply
    83,691.51x = 115,466.17 × 47,388.01
  4. Step 4: Simplify right side
    83,691.51x = 5,471,712,018.62
  5. Step 5: Solve for x
    x = 5,471,712,018.62/83,691.51
  6. Step 6: Final answer
    x = 65,379.54

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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.