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Finding the Fourth Proportional to 74,382.57, 102,647.57 and 40,390.76

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Solution

The fourth proportional to 74,382.57, 102,647.57 and 40,390.76 is: 55,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.57 : 102,647.57 = 40,390.76 : x
  2. Step 2: Convert to fraction form
    74,382.57/102,647.57 = 40,390.76/x
  3. Step 3: Cross multiply
    74,382.57x = 102,647.57 × 40,390.76
  4. Step 4: Simplify right side
    74,382.57x = 4,146,013,646.32
  5. Step 5: Solve for x
    x = 4,146,013,646.32/74,382.57
  6. Step 6: Final answer
    x = 55,739.05

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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.