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Finding the Fourth Proportional to 118,878.60, 178,418.70 and 48,808.20

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Solution

The fourth proportional to 118,878.60, 178,418.70 and 48,808.20 is: 73,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,878.60 : 178,418.70 = 48,808.20 : x
  2. Step 2: Convert to fraction form
    118,878.60/178,418.70 = 48,808.20/x
  3. Step 3: Cross multiply
    118,878.60x = 178,418.70 × 48,808.20
  4. Step 4: Simplify right side
    118,878.60x = 8,708,295,593.34
  5. Step 5: Solve for x
    x = 8,708,295,593.34/118,878.60
  6. Step 6: Final answer
    x = 73,253.69

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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.