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Finding the Fourth Proportional to 101,382.80, 151,949.64 and 56,916.32

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Solution

The fourth proportional to 101,382.80, 151,949.64 and 56,916.32 is: 85,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382.80 : 151,949.64 = 56,916.32 : x
  2. Step 2: Convert to fraction form
    101,382.80/151,949.64 = 56,916.32/x
  3. Step 3: Cross multiply
    101,382.80x = 151,949.64 × 56,916.32
  4. Step 4: Simplify right side
    101,382.80x = 8,648,414,334.12
  5. Step 5: Solve for x
    x = 8,648,414,334.12/101,382.80
  6. Step 6: Final answer
    x = 85,304.55

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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.