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Finding the Fourth Proportional to 78,813.60, 118,234.80 and 32,071.20

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Solution

The fourth proportional to 78,813.60, 118,234.80 and 32,071.20 is: 48,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,813.60 : 118,234.80 = 32,071.20 : x
  2. Step 2: Convert to fraction form
    78,813.60/118,234.80 = 32,071.20/x
  3. Step 3: Cross multiply
    78,813.60x = 118,234.80 × 32,071.20
  4. Step 4: Simplify right side
    78,813.60x = 3,791,931,917.76
  5. Step 5: Solve for x
    x = 3,791,931,917.76/78,813.60
  6. Step 6: Final answer
    x = 48,112.66

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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.