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Finding the Fourth Proportional to 52,812.56, 79,143 and 31,761.20

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Solution

The fourth proportional to 52,812.56, 79,143 and 31,761.20 is: 47,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,812.56 : 79,143 = 31,761.20 : x
  2. Step 2: Convert to fraction form
    52,812.56/79,143 = 31,761.20/x
  3. Step 3: Cross multiply
    52,812.56x = 79,143 × 31,761.20
  4. Step 4: Simplify right side
    52,812.56x = 2,513,676,651.60
  5. Step 5: Solve for x
    x = 2,513,676,651.60/52,812.56
  6. Step 6: Final answer
    x = 47,596.19

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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.