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Finding the Fourth Proportional to 74,433.78, 102,719.21 and 40,442.40

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Solution

The fourth proportional to 74,433.78, 102,719.21 and 40,442.40 is: 55,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,433.78 : 102,719.21 = 40,442.40 : x
  2. Step 2: Convert to fraction form
    74,433.78/102,719.21 = 40,442.40/x
  3. Step 3: Cross multiply
    74,433.78x = 102,719.21 × 40,442.40
  4. Step 4: Simplify right side
    74,433.78x = 4,154,211,176.29
  5. Step 5: Solve for x
    x = 4,154,211,176.29/74,433.78
  6. Step 6: Final answer
    x = 55,810.83

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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.