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Finding the Fourth Proportional to 98,470.80, 147,732.12 and 28,355.76

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Solution

The fourth proportional to 98,470.80, 147,732.12 and 28,355.76 is: 42,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.80 : 147,732.12 = 28,355.76 : x
  2. Step 2: Convert to fraction form
    98,470.80/147,732.12 = 28,355.76/x
  3. Step 3: Cross multiply
    98,470.80x = 147,732.12 × 28,355.76
  4. Step 4: Simplify right side
    98,470.80x = 4,189,056,539.01
  5. Step 5: Solve for x
    x = 4,189,056,539.01/98,470.80
  6. Step 6: Final answer
    x = 42,541.10

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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.