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Finding the Fourth Proportional to 178,666.77, 267,959.23 and 106,640

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Solution

The fourth proportional to 178,666.77, 267,959.23 and 106,640 is: 159,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,666.77 : 267,959.23 = 106,640 : x
  2. Step 2: Convert to fraction form
    178,666.77/267,959.23 = 106,640/x
  3. Step 3: Cross multiply
    178,666.77x = 267,959.23 × 106,640
  4. Step 4: Simplify right side
    178,666.77x = 28,575,172,287.20
  5. Step 5: Solve for x
    x = 28,575,172,287.20/178,666.77
  6. Step 6: Final answer
    x = 159,935.57

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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.