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Finding the Fourth Proportional to 78,127.80, 117,191.82 and 28,243.08

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Solution

The fourth proportional to 78,127.80, 117,191.82 and 28,243.08 is: 42,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.80 : 117,191.82 = 28,243.08 : x
  2. Step 2: Convert to fraction form
    78,127.80/117,191.82 = 28,243.08/x
  3. Step 3: Cross multiply
    78,127.80x = 117,191.82 × 28,243.08
  4. Step 4: Simplify right side
    78,127.80x = 3,309,857,947.61
  5. Step 5: Solve for x
    x = 3,309,857,947.61/78,127.80
  6. Step 6: Final answer
    x = 42,364.66

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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.