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Finding the Fourth Proportional to 78,732.60, 118,113.30 and 31,990.20

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Solution

The fourth proportional to 78,732.60, 118,113.30 and 31,990.20 is: 47,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732.60 : 118,113.30 = 31,990.20 : x
  2. Step 2: Convert to fraction form
    78,732.60/118,113.30 = 31,990.20/x
  3. Step 3: Cross multiply
    78,732.60x = 118,113.30 × 31,990.20
  4. Step 4: Simplify right side
    78,732.60x = 3,778,468,089.66
  5. Step 5: Solve for x
    x = 3,778,468,089.66/78,732.60
  6. Step 6: Final answer
    x = 47,991.15

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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.