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Finding the Fourth Proportional to 137,740.70, 206,265.45 and 90,739.10

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Solution

The fourth proportional to 137,740.70, 206,265.45 and 90,739.10 is: 135,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740.70 : 206,265.45 = 90,739.10 : x
  2. Step 2: Convert to fraction form
    137,740.70/206,265.45 = 90,739.10/x
  3. Step 3: Cross multiply
    137,740.70x = 206,265.45 × 90,739.10
  4. Step 4: Simplify right side
    137,740.70x = 18,716,341,294.10
  5. Step 5: Solve for x
    x = 18,716,341,294.10/137,740.70
  6. Step 6: Final answer
    x = 135,880.98

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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.