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Finding the Fourth Proportional to 78,727.60, 118,105.80 and 31,985.20

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Solution

The fourth proportional to 78,727.60, 118,105.80 and 31,985.20 is: 47,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,727.60 : 118,105.80 = 31,985.20 : x
  2. Step 2: Convert to fraction form
    78,727.60/118,105.80 = 31,985.20/x
  3. Step 3: Cross multiply
    78,727.60x = 118,105.80 × 31,985.20
  4. Step 4: Simplify right side
    78,727.60x = 3,777,637,634.16
  5. Step 5: Solve for x
    x = 3,777,637,634.16/78,727.60
  6. Step 6: Final answer
    x = 47,983.65

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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.