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Finding the Fourth Proportional to 78,117.76, 116,946.24 and 48,440.08

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Solution

The fourth proportional to 78,117.76, 116,946.24 and 48,440.08 is: 72,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.76 : 116,946.24 = 48,440.08 : x
  2. Step 2: Convert to fraction form
    78,117.76/116,946.24 = 48,440.08/x
  3. Step 3: Cross multiply
    78,117.76x = 116,946.24 × 48,440.08
  4. Step 4: Simplify right side
    78,117.76x = 5,664,885,221.30
  5. Step 5: Solve for x
    x = 5,664,885,221.30/78,117.76
  6. Step 6: Final answer
    x = 72,517.25

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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.