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Finding the Fourth Proportional to 139,543.20, 209,314.80 and 56,437.20

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Solution

The fourth proportional to 139,543.20, 209,314.80 and 56,437.20 is: 84,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,543.20 : 209,314.80 = 56,437.20 : x
  2. Step 2: Convert to fraction form
    139,543.20/209,314.80 = 56,437.20/x
  3. Step 3: Cross multiply
    139,543.20x = 209,314.80 × 56,437.20
  4. Step 4: Simplify right side
    139,543.20x = 11,813,141,230.56
  5. Step 5: Solve for x
    x = 11,813,141,230.56/139,543.20
  6. Step 6: Final answer
    x = 84,655.80

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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.