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Finding the Fourth Proportional to 42,770.64, 64,164 and 16,473.12

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Solution

The fourth proportional to 42,770.64, 64,164 and 16,473.12 is: 24,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.64 : 64,164 = 16,473.12 : x
  2. Step 2: Convert to fraction form
    42,770.64/64,164 = 16,473.12/x
  3. Step 3: Cross multiply
    42,770.64x = 64,164 × 16,473.12
  4. Step 4: Simplify right side
    42,770.64x = 1,056,981,271.68
  5. Step 5: Solve for x
    x = 1,056,981,271.68/42,770.64
  6. Step 6: Final answer
    x = 24,712.78

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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.