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Finding the Fourth Proportional to 72,196.32, 108,312.92 and 27,811.16

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Solution

The fourth proportional to 72,196.32, 108,312.92 and 27,811.16 is: 41,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196.32 : 108,312.92 = 27,811.16 : x
  2. Step 2: Convert to fraction form
    72,196.32/108,312.92 = 27,811.16/x
  3. Step 3: Cross multiply
    72,196.32x = 108,312.92 × 27,811.16
  4. Step 4: Simplify right side
    72,196.32x = 3,012,307,948.19
  5. Step 5: Solve for x
    x = 3,012,307,948.19/72,196.32
  6. Step 6: Final answer
    x = 41,723.84

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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.