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Finding the Fourth Proportional to 78,345.24, 117,734.72 and 76,446.16

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Solution

The fourth proportional to 78,345.24, 117,734.72 and 76,446.16 is: 114,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345.24 : 117,734.72 = 76,446.16 : x
  2. Step 2: Convert to fraction form
    78,345.24/117,734.72 = 76,446.16/x
  3. Step 3: Cross multiply
    78,345.24x = 117,734.72 × 76,446.16
  4. Step 4: Simplify right side
    78,345.24x = 9,000,367,242.68
  5. Step 5: Solve for x
    x = 9,000,367,242.68/78,345.24
  6. Step 6: Final answer
    x = 114,880.84

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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.