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Finding the Fourth Proportional to 56,540.80, 84,811.20 and 31,964.80

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Solution

The fourth proportional to 56,540.80, 84,811.20 and 31,964.80 is: 47,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,540.80 : 84,811.20 = 31,964.80 : x
  2. Step 2: Convert to fraction form
    56,540.80/84,811.20 = 31,964.80/x
  3. Step 3: Cross multiply
    56,540.80x = 84,811.20 × 31,964.80
  4. Step 4: Simplify right side
    56,540.80x = 2,710,973,045.76
  5. Step 5: Solve for x
    x = 2,710,973,045.76/56,540.80
  6. Step 6: Final answer
    x = 47,947.20

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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.