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Finding the Fourth Proportional to 157,079.04, 235,694.16 and 78,200.16

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Solution

The fourth proportional to 157,079.04, 235,694.16 and 78,200.16 is: 117,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,079.04 : 235,694.16 = 78,200.16 : x
  2. Step 2: Convert to fraction form
    157,079.04/235,694.16 = 78,200.16/x
  3. Step 3: Cross multiply
    157,079.04x = 235,694.16 × 78,200.16
  4. Step 4: Simplify right side
    157,079.04x = 18,431,321,023.07
  5. Step 5: Solve for x
    x = 18,431,321,023.07/157,079.04
  6. Step 6: Final answer
    x = 117,337.88

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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.