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Finding the Fourth Proportional to 78,162.66, 107,780.40 and 76,522.50

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Solution

The fourth proportional to 78,162.66, 107,780.40 and 76,522.50 is: 105,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.66 : 107,780.40 = 76,522.50 : x
  2. Step 2: Convert to fraction form
    78,162.66/107,780.40 = 76,522.50/x
  3. Step 3: Cross multiply
    78,162.66x = 107,780.40 × 76,522.50
  4. Step 4: Simplify right side
    78,162.66x = 8,247,625,659
  5. Step 5: Solve for x
    x = 8,247,625,659/78,162.66
  6. Step 6: Final answer
    x = 105,518.74

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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.