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Finding the Fourth Proportional to 97,872.64, 135,057.84 and 57,578.61

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Solution

The fourth proportional to 97,872.64, 135,057.84 and 57,578.61 is: 79,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872.64 : 135,057.84 = 57,578.61 : x
  2. Step 2: Convert to fraction form
    97,872.64/135,057.84 = 57,578.61/x
  3. Step 3: Cross multiply
    97,872.64x = 135,057.84 × 57,578.61
  4. Step 4: Simplify right side
    97,872.64x = 7,776,443,249.76
  5. Step 5: Solve for x
    x = 7,776,443,249.76/97,872.64
  6. Step 6: Final answer
    x = 79,454.72

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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.