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Finding the Fourth Proportional to 32,505.71, 48,758.49 and 20,870.87

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Solution

The fourth proportional to 32,505.71, 48,758.49 and 20,870.87 is: 31,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.71 : 48,758.49 = 20,870.87 : x
  2. Step 2: Convert to fraction form
    32,505.71/48,758.49 = 20,870.87/x
  3. Step 3: Cross multiply
    32,505.71x = 48,758.49 × 20,870.87
  4. Step 4: Simplify right side
    32,505.71x = 1,017,631,862.39
  5. Step 5: Solve for x
    x = 1,017,631,862.39/32,505.71
  6. Step 6: Final answer
    x = 31,306.25

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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.