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Finding the Fourth Proportional to 235,059.20, 352,516.80 and 77,251.20

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Solution

The fourth proportional to 235,059.20, 352,516.80 and 77,251.20 is: 115,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,059.20 : 352,516.80 = 77,251.20 : x
  2. Step 2: Convert to fraction form
    235,059.20/352,516.80 = 77,251.20/x
  3. Step 3: Cross multiply
    235,059.20x = 352,516.80 × 77,251.20
  4. Step 4: Simplify right side
    235,059.20x = 27,232,345,820.16
  5. Step 5: Solve for x
    x = 27,232,345,820.16/235,059.20
  6. Step 6: Final answer
    x = 115,853.14

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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.