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Finding the Fourth Proportional to 52,100, 71,899.47 and 29,439.95

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Solution

The fourth proportional to 52,100, 71,899.47 and 29,439.95 is: 40,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100 : 71,899.47 = 29,439.95 : x
  2. Step 2: Convert to fraction form
    52,100/71,899.47 = 29,439.95/x
  3. Step 3: Cross multiply
    52,100x = 71,899.47 × 29,439.95
  4. Step 4: Simplify right side
    52,100x = 2,116,716,801.83
  5. Step 5: Solve for x
    x = 2,116,716,801.83/52,100
  6. Step 6: Final answer
    x = 40,627.96

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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.