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Finding the Fourth Proportional to 78,438.59, 108,205.40 and 51,230.61

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Solution

The fourth proportional to 78,438.59, 108,205.40 and 51,230.61 is: 70,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.59 : 108,205.40 = 51,230.61 : x
  2. Step 2: Convert to fraction form
    78,438.59/108,205.40 = 51,230.61/x
  3. Step 3: Cross multiply
    78,438.59x = 108,205.40 × 51,230.61
  4. Step 4: Simplify right side
    78,438.59x = 5,543,428,647.29
  5. Step 5: Solve for x
    x = 5,543,428,647.29/78,438.59
  6. Step 6: Final answer
    x = 70,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.