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Finding the Fourth Proportional to 78,100.80, 117,068.48 and 25,496.16

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Solution

The fourth proportional to 78,100.80, 117,068.48 and 25,496.16 is: 38,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100.80 : 117,068.48 = 25,496.16 : x
  2. Step 2: Convert to fraction form
    78,100.80/117,068.48 = 25,496.16/x
  3. Step 3: Cross multiply
    78,100.80x = 117,068.48 × 25,496.16
  4. Step 4: Simplify right side
    78,100.80x = 2,984,796,697.04
  5. Step 5: Solve for x
    x = 2,984,796,697.04/78,100.80
  6. Step 6: Final answer
    x = 38,217.24

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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.