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Finding the Fourth Proportional to 52,642.65, 72,651.86 and 28,772.91

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Solution

The fourth proportional to 52,642.65, 72,651.86 and 28,772.91 is: 39,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.65 : 72,651.86 = 28,772.91 : x
  2. Step 2: Convert to fraction form
    52,642.65/72,651.86 = 28,772.91/x
  3. Step 3: Cross multiply
    52,642.65x = 72,651.86 × 28,772.91
  4. Step 4: Simplify right side
    52,642.65x = 2,090,405,371.90
  5. Step 5: Solve for x
    x = 2,090,405,371.90/52,642.65
  6. Step 6: Final answer
    x = 39,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.