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Finding the Fourth Proportional to 137,243.91, 205,885.55 and 42,482.42

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Solution

The fourth proportional to 137,243.91, 205,885.55 and 42,482.42 is: 63,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,243.91 : 205,885.55 = 42,482.42 : x
  2. Step 2: Convert to fraction form
    137,243.91/205,885.55 = 42,482.42/x
  3. Step 3: Cross multiply
    137,243.91x = 205,885.55 × 42,482.42
  4. Step 4: Simplify right side
    137,243.91x = 8,746,515,165.19
  5. Step 5: Solve for x
    x = 8,746,515,165.19/137,243.91
  6. Step 6: Final answer
    x = 63,729.71

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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.