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Finding the Fourth Proportional to 74,487.62, 102,794.91 and 40,498.40

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Solution

The fourth proportional to 74,487.62, 102,794.91 and 40,498.40 is: 55,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,487.62 : 102,794.91 = 40,498.40 : x
  2. Step 2: Convert to fraction form
    74,487.62/102,794.91 = 40,498.40/x
  3. Step 3: Cross multiply
    74,487.62x = 102,794.91 × 40,498.40
  4. Step 4: Simplify right side
    74,487.62x = 4,163,028,869.17
  5. Step 5: Solve for x
    x = 4,163,028,869.17/74,487.62
  6. Step 6: Final answer
    x = 55,888.87

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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.