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Finding the Fourth Proportional to 78,103.31, 117,130.95 and 28,177.13

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Solution

The fourth proportional to 78,103.31, 117,130.95 and 28,177.13 is: 42,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.31 : 117,130.95 = 28,177.13 : x
  2. Step 2: Convert to fraction form
    78,103.31/117,130.95 = 28,177.13/x
  3. Step 3: Cross multiply
    78,103.31x = 117,130.95 × 28,177.13
  4. Step 4: Simplify right side
    78,103.31x = 3,300,414,005.17
  5. Step 5: Solve for x
    x = 3,300,414,005.17/78,103.31
  6. Step 6: Final answer
    x = 42,257.03

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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.