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Finding the Fourth Proportional to 64,821.79, 89,454.09 and 35,013.79

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Solution

The fourth proportional to 64,821.79, 89,454.09 and 35,013.79 is: 48,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821.79 : 89,454.09 = 35,013.79 : x
  2. Step 2: Convert to fraction form
    64,821.79/89,454.09 = 35,013.79/x
  3. Step 3: Cross multiply
    64,821.79x = 89,454.09 × 35,013.79
  4. Step 4: Simplify right side
    64,821.79x = 3,132,126,721.90
  5. Step 5: Solve for x
    x = 3,132,126,721.90/64,821.79
  6. Step 6: Final answer
    x = 48,319.04

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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.