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Finding the Fourth Proportional to 74,246.40, 102,458.16 and 40,712.40

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Solution

The fourth proportional to 74,246.40, 102,458.16 and 40,712.40 is: 56,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,246.40 : 102,458.16 = 40,712.40 : x
  2. Step 2: Convert to fraction form
    74,246.40/102,458.16 = 40,712.40/x
  3. Step 3: Cross multiply
    74,246.40x = 102,458.16 × 40,712.40
  4. Step 4: Simplify right side
    74,246.40x = 4,171,317,593.18
  5. Step 5: Solve for x
    x = 4,171,317,593.18/74,246.40
  6. Step 6: Final answer
    x = 56,182.09

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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.