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Finding the Fourth Proportional to 72,977.32, 109,506.98 and 39,699.71

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Solution

The fourth proportional to 72,977.32, 109,506.98 and 39,699.71 is: 59,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.32 : 109,506.98 = 39,699.71 : x
  2. Step 2: Convert to fraction form
    72,977.32/109,506.98 = 39,699.71/x
  3. Step 3: Cross multiply
    72,977.32x = 109,506.98 × 39,699.71
  4. Step 4: Simplify right side
    72,977.32x = 4,347,395,311.34
  5. Step 5: Solve for x
    x = 4,347,395,311.34/72,977.32
  6. Step 6: Final answer
    x = 59,571.87

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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.