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Finding the Fourth Proportional to 139,970.80, 209,956.20 and 51,227.20

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Solution

The fourth proportional to 139,970.80, 209,956.20 and 51,227.20 is: 76,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,970.80 : 209,956.20 = 51,227.20 : x
  2. Step 2: Convert to fraction form
    139,970.80/209,956.20 = 51,227.20/x
  3. Step 3: Cross multiply
    139,970.80x = 209,956.20 × 51,227.20
  4. Step 4: Simplify right side
    139,970.80x = 10,755,468,248.64
  5. Step 5: Solve for x
    x = 10,755,468,248.64/139,970.80
  6. Step 6: Final answer
    x = 76,840.80

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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.