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Finding the Fourth Proportional to 115,115.89, 172,692.29 and 48,565.82

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Solution

The fourth proportional to 115,115.89, 172,692.29 and 48,565.82 is: 72,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,115.89 : 172,692.29 = 48,565.82 : x
  2. Step 2: Convert to fraction form
    115,115.89/172,692.29 = 48,565.82/x
  3. Step 3: Cross multiply
    115,115.89x = 172,692.29 × 48,565.82
  4. Step 4: Simplify right side
    115,115.89x = 8,386,942,428.70
  5. Step 5: Solve for x
    x = 8,386,942,428.70/115,115.89
  6. Step 6: Final answer
    x = 72,856.51

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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.