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Finding the Fourth Proportional to 65,778.76, 98,645.79 and 21,394.50

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Solution

The fourth proportional to 65,778.76, 98,645.79 and 21,394.50 is: 32,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778.76 : 98,645.79 = 21,394.50 : x
  2. Step 2: Convert to fraction form
    65,778.76/98,645.79 = 21,394.50/x
  3. Step 3: Cross multiply
    65,778.76x = 98,645.79 × 21,394.50
  4. Step 4: Simplify right side
    65,778.76x = 2,110,477,354.16
  5. Step 5: Solve for x
    x = 2,110,477,354.16/65,778.76
  6. Step 6: Final answer
    x = 32,084.48

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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.