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Finding the Fourth Proportional to 137,219.42, 205,800.32 and 38,700.38

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Solution

The fourth proportional to 137,219.42, 205,800.32 and 38,700.38 is: 58,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.42 : 205,800.32 = 38,700.38 : x
  2. Step 2: Convert to fraction form
    137,219.42/205,800.32 = 38,700.38/x
  3. Step 3: Cross multiply
    137,219.42x = 205,800.32 × 38,700.38
  4. Step 4: Simplify right side
    137,219.42x = 7,964,549,655.87
  5. Step 5: Solve for x
    x = 7,964,549,655.87/137,219.42
  6. Step 6: Final answer
    x = 58,042.44

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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.