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Finding the Fourth Proportional to 178,672.65, 267,844.47 and 77,407.06

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Solution

The fourth proportional to 178,672.65, 267,844.47 and 77,407.06 is: 116,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,672.65 : 267,844.47 = 77,407.06 : x
  2. Step 2: Convert to fraction form
    178,672.65/267,844.47 = 77,407.06/x
  3. Step 3: Cross multiply
    178,672.65x = 267,844.47 × 77,407.06
  4. Step 4: Simplify right side
    178,672.65x = 20,733,052,937.69
  5. Step 5: Solve for x
    x = 20,733,052,937.69/178,672.65
  6. Step 6: Final answer
    x = 116,039.32

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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.