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Finding the Fourth Proportional to 151,978.30, 227,639.40 and 98,834.20

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Solution

The fourth proportional to 151,978.30, 227,639.40 and 98,834.20 is: 148,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,978.30 : 227,639.40 = 98,834.20 : x
  2. Step 2: Convert to fraction form
    151,978.30/227,639.40 = 98,834.20/x
  3. Step 3: Cross multiply
    151,978.30x = 227,639.40 × 98,834.20
  4. Step 4: Simplify right side
    151,978.30x = 22,498,557,987.48
  5. Step 5: Solve for x
    x = 22,498,557,987.48/151,978.30
  6. Step 6: Final answer
    x = 148,037.96

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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.