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Finding the Fourth Proportional to 74,443.50, 102,732.03 and 40,909.50

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Solution

The fourth proportional to 74,443.50, 102,732.03 and 40,909.50 is: 56,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,443.50 : 102,732.03 = 40,909.50 : x
  2. Step 2: Convert to fraction form
    74,443.50/102,732.03 = 40,909.50/x
  3. Step 3: Cross multiply
    74,443.50x = 102,732.03 × 40,909.50
  4. Step 4: Simplify right side
    74,443.50x = 4,202,715,981.29
  5. Step 5: Solve for x
    x = 4,202,715,981.29/74,443.50
  6. Step 6: Final answer
    x = 56,455.11

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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.