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Finding the Fourth Proportional to 42,197.12, 63,295.80 and 15,894.80

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Solution

The fourth proportional to 42,197.12, 63,295.80 and 15,894.80 is: 23,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.12 : 63,295.80 = 15,894.80 : x
  2. Step 2: Convert to fraction form
    42,197.12/63,295.80 = 15,894.80/x
  3. Step 3: Cross multiply
    42,197.12x = 63,295.80 × 15,894.80
  4. Step 4: Simplify right side
    42,197.12x = 1,006,074,081.84
  5. Step 5: Solve for x
    x = 1,006,074,081.84/42,197.12
  6. Step 6: Final answer
    x = 23,842.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.