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Finding the Fourth Proportional to 72,842.64, 109,235.24 and 35,391.62

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Solution

The fourth proportional to 72,842.64, 109,235.24 and 35,391.62 is: 53,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,842.64 : 109,235.24 = 35,391.62 : x
  2. Step 2: Convert to fraction form
    72,842.64/109,235.24 = 35,391.62/x
  3. Step 3: Cross multiply
    72,842.64x = 109,235.24 × 35,391.62
  4. Step 4: Simplify right side
    72,842.64x = 3,866,011,381.55
  5. Step 5: Solve for x
    x = 3,866,011,381.55/72,842.64
  6. Step 6: Final answer
    x = 53,073.47

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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.