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Finding the Fourth Proportional to 76,068, 114,060.24 and 26,120.16

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Solution

The fourth proportional to 76,068, 114,060.24 and 26,120.16 is: 39,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068 : 114,060.24 = 26,120.16 : x
  2. Step 2: Convert to fraction form
    76,068/114,060.24 = 26,120.16/x
  3. Step 3: Cross multiply
    76,068x = 114,060.24 × 26,120.16
  4. Step 4: Simplify right side
    76,068x = 2,979,271,718.44
  5. Step 5: Solve for x
    x = 2,979,271,718.44/76,068
  6. Step 6: Final answer
    x = 39,165.90

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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.