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Finding the Fourth Proportional to 71,903.16, 107,854.65 and 19,312.61

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Solution

The fourth proportional to 71,903.16, 107,854.65 and 19,312.61 is: 28,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.16 : 107,854.65 = 19,312.61 : x
  2. Step 2: Convert to fraction form
    71,903.16/107,854.65 = 19,312.61/x
  3. Step 3: Cross multiply
    71,903.16x = 107,854.65 × 19,312.61
  4. Step 4: Simplify right side
    71,903.16x = 2,082,954,252.86
  5. Step 5: Solve for x
    x = 2,082,954,252.86/71,903.16
  6. Step 6: Final answer
    x = 28,968.88

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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.