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Finding the Fourth Proportional to 72,807.87, 100,505.86 and 48,948.38

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Solution

The fourth proportional to 72,807.87, 100,505.86 and 48,948.38 is: 67,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.87 : 100,505.86 = 48,948.38 : x
  2. Step 2: Convert to fraction form
    72,807.87/100,505.86 = 48,948.38/x
  3. Step 3: Cross multiply
    72,807.87x = 100,505.86 × 48,948.38
  4. Step 4: Simplify right side
    72,807.87x = 4,919,599,027.51
  5. Step 5: Solve for x
    x = 4,919,599,027.51/72,807.87
  6. Step 6: Final answer
    x = 67,569.61

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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.