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Finding the Fourth Proportional to 74,042.40, 102,177.68 and 40,508

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Solution

The fourth proportional to 74,042.40, 102,177.68 and 40,508 is: 55,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,042.40 : 102,177.68 = 40,508 : x
  2. Step 2: Convert to fraction form
    74,042.40/102,177.68 = 40,508/x
  3. Step 3: Cross multiply
    74,042.40x = 102,177.68 × 40,508
  4. Step 4: Simplify right side
    74,042.40x = 4,139,013,461.44
  5. Step 5: Solve for x
    x = 4,139,013,461.44/74,042.40
  6. Step 6: Final answer
    x = 55,900.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.