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Finding the Fourth Proportional to 153,542.64, 230,166 and 78,697.92

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Solution

The fourth proportional to 153,542.64, 230,166 and 78,697.92 is: 117,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,542.64 : 230,166 = 78,697.92 : x
  2. Step 2: Convert to fraction form
    153,542.64/230,166 = 78,697.92/x
  3. Step 3: Cross multiply
    153,542.64x = 230,166 × 78,697.92
  4. Step 4: Simplify right side
    153,542.64x = 18,113,585,454.72
  5. Step 5: Solve for x
    x = 18,113,585,454.72/153,542.64
  6. Step 6: Final answer
    x = 117,971.04

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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.