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Finding the Fourth Proportional to 98,141.20, 147,139.80 and 38,947.60

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Solution

The fourth proportional to 98,141.20, 147,139.80 and 38,947.60 is: 58,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,141.20 : 147,139.80 = 38,947.60 : x
  2. Step 2: Convert to fraction form
    98,141.20/147,139.80 = 38,947.60/x
  3. Step 3: Cross multiply
    98,141.20x = 147,139.80 × 38,947.60
  4. Step 4: Simplify right side
    98,141.20x = 5,730,742,074.48
  5. Step 5: Solve for x
    x = 5,730,742,074.48/98,141.20
  6. Step 6: Final answer
    x = 58,392.83

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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.