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Finding the Fourth Proportional to 78,987.84, 118,481.76 and 31,624.28

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Solution

The fourth proportional to 78,987.84, 118,481.76 and 31,624.28 is: 47,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,987.84 : 118,481.76 = 31,624.28 : x
  2. Step 2: Convert to fraction form
    78,987.84/118,481.76 = 31,624.28/x
  3. Step 3: Cross multiply
    78,987.84x = 118,481.76 × 31,624.28
  4. Step 4: Simplify right side
    78,987.84x = 3,746,900,353.13
  5. Step 5: Solve for x
    x = 3,746,900,353.13/78,987.84
  6. Step 6: Final answer
    x = 47,436.42

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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.