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Finding the Fourth Proportional to 72,314.87, 108,283.67 and 58,197.78

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Solution

The fourth proportional to 72,314.87, 108,283.67 and 58,197.78 is: 87,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.87 : 108,283.67 = 58,197.78 : x
  2. Step 2: Convert to fraction form
    72,314.87/108,283.67 = 58,197.78/x
  3. Step 3: Cross multiply
    72,314.87x = 108,283.67 × 58,197.78
  4. Step 4: Simplify right side
    72,314.87x = 6,301,868,913.26
  5. Step 5: Solve for x
    x = 6,301,868,913.26/72,314.87
  6. Step 6: Final answer
    x = 87,144.86

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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.