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Finding the Fourth Proportional to 52,154.88, 71,972.64 and 28,280.64

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Solution

The fourth proportional to 52,154.88, 71,972.64 and 28,280.64 is: 39,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.88 : 71,972.64 = 28,280.64 : x
  2. Step 2: Convert to fraction form
    52,154.88/71,972.64 = 28,280.64/x
  3. Step 3: Cross multiply
    52,154.88x = 71,972.64 × 28,280.64
  4. Step 4: Simplify right side
    52,154.88x = 2,035,432,321.69
  5. Step 5: Solve for x
    x = 2,035,432,321.69/52,154.88
  6. Step 6: Final answer
    x = 39,026.69

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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.