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Finding the Fourth Proportional to 75,673.72, 104,432.50 and 47,009.18

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Solution

The fourth proportional to 75,673.72, 104,432.50 and 47,009.18 is: 64,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,673.72 : 104,432.50 = 47,009.18 : x
  2. Step 2: Convert to fraction form
    75,673.72/104,432.50 = 47,009.18/x
  3. Step 3: Cross multiply
    75,673.72x = 104,432.50 × 47,009.18
  4. Step 4: Simplify right side
    75,673.72x = 4,909,286,190.35
  5. Step 5: Solve for x
    x = 4,909,286,190.35/75,673.72
  6. Step 6: Final answer
    x = 64,874.39

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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.