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Finding the Fourth Proportional to 64,744.89, 96,976.35 and 31,394.34

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Solution

The fourth proportional to 64,744.89, 96,976.35 and 31,394.34 is: 47,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,744.89 : 96,976.35 = 31,394.34 : x
  2. Step 2: Convert to fraction form
    64,744.89/96,976.35 = 31,394.34/x
  3. Step 3: Cross multiply
    64,744.89x = 96,976.35 × 31,394.34
  4. Step 4: Simplify right side
    64,744.89x = 3,044,508,503.86
  5. Step 5: Solve for x
    x = 3,044,508,503.86/64,744.89
  6. Step 6: Final answer
    x = 47,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.