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Finding the Fourth Proportional to 137,478.40, 205,958.40 and 70,691.20

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Solution

The fourth proportional to 137,478.40, 205,958.40 and 70,691.20 is: 105,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.40 : 205,958.40 = 70,691.20 : x
  2. Step 2: Convert to fraction form
    137,478.40/205,958.40 = 70,691.20/x
  3. Step 3: Cross multiply
    137,478.40x = 205,958.40 × 70,691.20
  4. Step 4: Simplify right side
    137,478.40x = 14,559,446,446.08
  5. Step 5: Solve for x
    x = 14,559,446,446.08/137,478.40
  6. Step 6: Final answer
    x = 105,903.52

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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.