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Finding the Fourth Proportional to 78,305.13, 117,419.40 and 54,624

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Solution

The fourth proportional to 78,305.13, 117,419.40 and 54,624 is: 81,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.13 : 117,419.40 = 54,624 : x
  2. Step 2: Convert to fraction form
    78,305.13/117,419.40 = 54,624/x
  3. Step 3: Cross multiply
    78,305.13x = 117,419.40 × 54,624
  4. Step 4: Simplify right side
    78,305.13x = 6,413,917,305.60
  5. Step 5: Solve for x
    x = 6,413,917,305.60/78,305.13
  6. Step 6: Final answer
    x = 81,909.29

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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.