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Finding the Fourth Proportional to 138,023.80, 206,598.30 and 98,657.80

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Solution

The fourth proportional to 138,023.80, 206,598.30 and 98,657.80 is: 147,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,023.80 : 206,598.30 = 98,657.80 : x
  2. Step 2: Convert to fraction form
    138,023.80/206,598.30 = 98,657.80/x
  3. Step 3: Cross multiply
    138,023.80x = 206,598.30 × 98,657.80
  4. Step 4: Simplify right side
    138,023.80x = 20,382,533,761.74
  5. Step 5: Solve for x
    x = 20,382,533,761.74/138,023.80
  6. Step 6: Final answer
    x = 147,674.05

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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.