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Finding the Fourth Proportional to 78,442.60, 108,210.91 and 51,234.62

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Solution

The fourth proportional to 78,442.60, 108,210.91 and 51,234.62 is: 70,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.60 : 108,210.91 = 51,234.62 : x
  2. Step 2: Convert to fraction form
    78,442.60/108,210.91 = 51,234.62/x
  3. Step 3: Cross multiply
    78,442.60x = 108,210.91 × 51,234.62
  4. Step 4: Simplify right side
    78,442.60x = 5,544,144,853.70
  5. Step 5: Solve for x
    x = 5,544,144,853.70/78,442.60
  6. Step 6: Final answer
    x = 70,677.73

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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.