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Finding the Fourth Proportional to 52,870.86, 72,961.86 and 28,997.70

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Solution

The fourth proportional to 52,870.86, 72,961.86 and 28,997.70 is: 40,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870.86 : 72,961.86 = 28,997.70 : x
  2. Step 2: Convert to fraction form
    52,870.86/72,961.86 = 28,997.70/x
  3. Step 3: Cross multiply
    52,870.86x = 72,961.86 × 28,997.70
  4. Step 4: Simplify right side
    52,870.86x = 2,115,726,127.72
  5. Step 5: Solve for x
    x = 2,115,726,127.72/52,870.86
  6. Step 6: Final answer
    x = 40,016.87

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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.