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Finding the Fourth Proportional to 52,051.68, 77,986.80 and 31,229.28

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Solution

The fourth proportional to 52,051.68, 77,986.80 and 31,229.28 is: 46,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.68 : 77,986.80 = 31,229.28 : x
  2. Step 2: Convert to fraction form
    52,051.68/77,986.80 = 31,229.28/x
  3. Step 3: Cross multiply
    52,051.68x = 77,986.80 × 31,229.28
  4. Step 4: Simplify right side
    52,051.68x = 2,435,471,613.50
  5. Step 5: Solve for x
    x = 2,435,471,613.50/52,051.68
  6. Step 6: Final answer
    x = 46,789.49

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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.