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Finding the Fourth Proportional to 78,977.60, 118,423.20 and 32,177.60

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Solution

The fourth proportional to 78,977.60, 118,423.20 and 32,177.60 is: 48,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,977.60 : 118,423.20 = 32,177.60 : x
  2. Step 2: Convert to fraction form
    78,977.60/118,423.20 = 32,177.60/x
  3. Step 3: Cross multiply
    78,977.60x = 118,423.20 × 32,177.60
  4. Step 4: Simplify right side
    78,977.60x = 3,810,574,360.32
  5. Step 5: Solve for x
    x = 3,810,574,360.32/78,977.60
  6. Step 6: Final answer
    x = 48,248.80

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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.