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Finding the Fourth Proportional to 76,578.29, 114,852.30 and 72,780.76

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Solution

The fourth proportional to 76,578.29, 114,852.30 and 72,780.76 is: 109,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.29 : 114,852.30 = 72,780.76 : x
  2. Step 2: Convert to fraction form
    76,578.29/114,852.30 = 72,780.76/x
  3. Step 3: Cross multiply
    76,578.29x = 114,852.30 × 72,780.76
  4. Step 4: Simplify right side
    76,578.29x = 8,359,036,743.58
  5. Step 5: Solve for x
    x = 8,359,036,743.58/76,578.29
  6. Step 6: Final answer
    x = 109,156.74

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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.