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Finding the Fourth Proportional to 147,319.20, 220,978.80 and 137,404.80

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Solution

The fourth proportional to 147,319.20, 220,978.80 and 137,404.80 is: 206,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,319.20 : 220,978.80 = 137,404.80 : x
  2. Step 2: Convert to fraction form
    147,319.20/220,978.80 = 137,404.80/x
  3. Step 3: Cross multiply
    147,319.20x = 220,978.80 × 137,404.80
  4. Step 4: Simplify right side
    147,319.20x = 30,363,547,818.24
  5. Step 5: Solve for x
    x = 30,363,547,818.24/147,319.20
  6. Step 6: Final answer
    x = 206,107.20

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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.