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Finding the Fourth Proportional to 139,780.80, 209,641.86 and 45,019.62

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Solution

The fourth proportional to 139,780.80, 209,641.86 and 45,019.62 is: 67,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,780.80 : 209,641.86 = 45,019.62 : x
  2. Step 2: Convert to fraction form
    139,780.80/209,641.86 = 45,019.62/x
  3. Step 3: Cross multiply
    139,780.80x = 209,641.86 × 45,019.62
  4. Step 4: Simplify right side
    139,780.80x = 9,437,996,873.29
  5. Step 5: Solve for x
    x = 9,437,996,873.29/139,780.80
  6. Step 6: Final answer
    x = 67,519.98

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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.