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Finding the Fourth Proportional to 78,827.60, 118,255.80 and 32,085.20

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Solution

The fourth proportional to 78,827.60, 118,255.80 and 32,085.20 is: 48,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.60 : 118,255.80 = 32,085.20 : x
  2. Step 2: Convert to fraction form
    78,827.60/118,255.80 = 32,085.20/x
  3. Step 3: Cross multiply
    78,827.60x = 118,255.80 × 32,085.20
  4. Step 4: Simplify right side
    78,827.60x = 3,794,260,994.16
  5. Step 5: Solve for x
    x = 3,794,260,994.16/78,827.60
  6. Step 6: Final answer
    x = 48,133.66

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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.