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Finding the Fourth Proportional to 139,881.20, 209,909.28 and 56,775.20

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Solution

The fourth proportional to 139,881.20, 209,909.28 and 56,775.20 is: 85,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,881.20 : 209,909.28 = 56,775.20 : x
  2. Step 2: Convert to fraction form
    139,881.20/209,909.28 = 56,775.20/x
  3. Step 3: Cross multiply
    139,881.20x = 209,909.28 × 56,775.20
  4. Step 4: Simplify right side
    139,881.20x = 11,917,641,353.86
  5. Step 5: Solve for x
    x = 11,917,641,353.86/139,881.20
  6. Step 6: Final answer
    x = 85,198.31

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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.