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Finding the Fourth Proportional to 75,678.75, 104,446.70 and 48,899.14

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Solution

The fourth proportional to 75,678.75, 104,446.70 and 48,899.14 is: 67,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.75 : 104,446.70 = 48,899.14 : x
  2. Step 2: Convert to fraction form
    75,678.75/104,446.70 = 48,899.14/x
  3. Step 3: Cross multiply
    75,678.75x = 104,446.70 × 48,899.14
  4. Step 4: Simplify right side
    75,678.75x = 5,107,353,483.60
  5. Step 5: Solve for x
    x = 5,107,353,483.60/75,678.75
  6. Step 6: Final answer
    x = 67,487.29

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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.