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Finding the Fourth Proportional to 78,098.04, 117,053.17 and 35,920

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Solution

The fourth proportional to 78,098.04, 117,053.17 and 35,920 is: 53,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.04 : 117,053.17 = 35,920 : x
  2. Step 2: Convert to fraction form
    78,098.04/117,053.17 = 35,920/x
  3. Step 3: Cross multiply
    78,098.04x = 117,053.17 × 35,920
  4. Step 4: Simplify right side
    78,098.04x = 4,204,549,686.80
  5. Step 5: Solve for x
    x = 4,204,549,686.80/78,098.04
  6. Step 6: Final answer
    x = 53,836.81

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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.