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Finding the Fourth Proportional to 118,671.84, 178,098.48 and 87,516

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Solution

The fourth proportional to 118,671.84, 178,098.48 and 87,516 is: 131,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,671.84 : 178,098.48 = 87,516 : x
  2. Step 2: Convert to fraction form
    118,671.84/178,098.48 = 87,516/x
  3. Step 3: Cross multiply
    118,671.84x = 178,098.48 × 87,516
  4. Step 4: Simplify right side
    118,671.84x = 15,586,466,575.68
  5. Step 5: Solve for x
    x = 15,586,466,575.68/118,671.84
  6. Step 6: Final answer
    x = 131,340.90

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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.