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Finding the Fourth Proportional to 52,045.70, 71,822.90 and 28,172.31

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Solution

The fourth proportional to 52,045.70, 71,822.90 and 28,172.31 is: 38,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.70 : 71,822.90 = 28,172.31 : x
  2. Step 2: Convert to fraction form
    52,045.70/71,822.90 = 28,172.31/x
  3. Step 3: Cross multiply
    52,045.70x = 71,822.90 × 28,172.31
  4. Step 4: Simplify right side
    52,045.70x = 2,023,416,863.04
  5. Step 5: Solve for x
    x = 2,023,416,863.04/52,045.70
  6. Step 6: Final answer
    x = 38,877.70

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1.5x scale

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.