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Finding the Fourth Proportional to 71,904.66, 107,856.90 and 19,314.11

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Solution

The fourth proportional to 71,904.66, 107,856.90 and 19,314.11 is: 28,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,904.66 : 107,856.90 = 19,314.11 : x
  2. Step 2: Convert to fraction form
    71,904.66/107,856.90 = 19,314.11/x
  3. Step 3: Cross multiply
    71,904.66x = 107,856.90 × 19,314.11
  4. Step 4: Simplify right side
    71,904.66x = 2,083,159,491.57
  5. Step 5: Solve for x
    x = 2,083,159,491.57/71,904.66
  6. Step 6: Final answer
    x = 28,971.13

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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.