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Finding the Fourth Proportional to 76,688.76, 115,101.76 and 39,274.40

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Solution

The fourth proportional to 76,688.76, 115,101.76 and 39,274.40 is: 58,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.76 : 115,101.76 = 39,274.40 : x
  2. Step 2: Convert to fraction form
    76,688.76/115,101.76 = 39,274.40/x
  3. Step 3: Cross multiply
    76,688.76x = 115,101.76 × 39,274.40
  4. Step 4: Simplify right side
    76,688.76x = 4,520,552,562.94
  5. Step 5: Solve for x
    x = 4,520,552,562.94/76,688.76
  6. Step 6: Final answer
    x = 58,946.74

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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.