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Finding the Fourth Proportional to 76,197.76, 114,366.80 and 38,784.56

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Solution

The fourth proportional to 76,197.76, 114,366.80 and 38,784.56 is: 58,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.76 : 114,366.80 = 38,784.56 : x
  2. Step 2: Convert to fraction form
    76,197.76/114,366.80 = 38,784.56/x
  3. Step 3: Cross multiply
    76,197.76x = 114,366.80 × 38,784.56
  4. Step 4: Simplify right side
    76,197.76x = 4,435,666,108.60
  5. Step 5: Solve for x
    x = 4,435,666,108.60/76,197.76
  6. Step 6: Final answer
    x = 58,212.55

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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.