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Finding the Fourth Proportional to 137,311.40, 205,967.10 and 58,428.20

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Solution

The fourth proportional to 137,311.40, 205,967.10 and 58,428.20 is: 87,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,311.40 : 205,967.10 = 58,428.20 : x
  2. Step 2: Convert to fraction form
    137,311.40/205,967.10 = 58,428.20/x
  3. Step 3: Cross multiply
    137,311.40x = 205,967.10 × 58,428.20
  4. Step 4: Simplify right side
    137,311.40x = 12,034,286,912.22
  5. Step 5: Solve for x
    x = 12,034,286,912.22/137,311.40
  6. Step 6: Final answer
    x = 87,642.30

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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.