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Finding the Fourth Proportional to 42,420, 63,181.92 and 40,199.52

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Solution

The fourth proportional to 42,420, 63,181.92 and 40,199.52 is: 59,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420 : 63,181.92 = 40,199.52 : x
  2. Step 2: Convert to fraction form
    42,420/63,181.92 = 40,199.52/x
  3. Step 3: Cross multiply
    42,420x = 63,181.92 × 40,199.52
  4. Step 4: Simplify right side
    42,420x = 2,539,882,856.68
  5. Step 5: Solve for x
    x = 2,539,882,856.68/42,420
  6. Step 6: Final answer
    x = 59,874.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.