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Finding the Fourth Proportional to 137,325.89, 205,994.30 and 42,565.92

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Solution

The fourth proportional to 137,325.89, 205,994.30 and 42,565.92 is: 63,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,325.89 : 205,994.30 = 42,565.92 : x
  2. Step 2: Convert to fraction form
    137,325.89/205,994.30 = 42,565.92/x
  3. Step 3: Cross multiply
    137,325.89x = 205,994.30 × 42,565.92
  4. Step 4: Simplify right side
    137,325.89x = 8,768,336,681.43
  5. Step 5: Solve for x
    x = 8,768,336,681.43/137,325.89
  6. Step 6: Final answer
    x = 63,850.57

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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.