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Finding the Fourth Proportional to 78,192.24, 117,263.88 and 28,265.88

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Solution

The fourth proportional to 78,192.24, 117,263.88 and 28,265.88 is: 42,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.24 : 117,263.88 = 28,265.88 : x
  2. Step 2: Convert to fraction form
    78,192.24/117,263.88 = 28,265.88/x
  3. Step 3: Cross multiply
    78,192.24x = 117,263.88 × 28,265.88
  4. Step 4: Simplify right side
    78,192.24x = 3,314,566,760.41
  5. Step 5: Solve for x
    x = 3,314,566,760.41/78,192.24
  6. Step 6: Final answer
    x = 42,389.97

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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.