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Finding the Fourth Proportional to 137,064.17, 205,531.05 and 80,154.32

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Solution

The fourth proportional to 137,064.17, 205,531.05 and 80,154.32 is: 120,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064.17 : 205,531.05 = 80,154.32 : x
  2. Step 2: Convert to fraction form
    137,064.17/205,531.05 = 80,154.32/x
  3. Step 3: Cross multiply
    137,064.17x = 205,531.05 × 80,154.32
  4. Step 4: Simplify right side
    137,064.17x = 16,474,201,551.64
  5. Step 5: Solve for x
    x = 16,474,201,551.64/137,064.17
  6. Step 6: Final answer
    x = 120,193.35

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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.