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Finding the Fourth Proportional to 137,551.18, 206,386.18 and 74,415.78

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Solution

The fourth proportional to 137,551.18, 206,386.18 and 74,415.78 is: 111,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,551.18 : 206,386.18 = 74,415.78 : x
  2. Step 2: Convert to fraction form
    137,551.18/206,386.18 = 74,415.78/x
  3. Step 3: Cross multiply
    137,551.18x = 206,386.18 × 74,415.78
  4. Step 4: Simplify right side
    137,551.18x = 15,358,388,565.92
  5. Step 5: Solve for x
    x = 15,358,388,565.92/137,551.18
  6. Step 6: Final answer
    x = 111,655.81

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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.