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Finding the Fourth Proportional to 74,013, 102,140.37 and 40,479

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Solution

The fourth proportional to 74,013, 102,140.37 and 40,479 is: 55,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,013 : 102,140.37 = 40,479 : x
  2. Step 2: Convert to fraction form
    74,013/102,140.37 = 40,479/x
  3. Step 3: Cross multiply
    74,013x = 102,140.37 × 40,479
  4. Step 4: Simplify right side
    74,013x = 4,134,540,037.23
  5. Step 5: Solve for x
    x = 4,134,540,037.23/74,013
  6. Step 6: Final answer
    x = 55,862.35

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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.