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Finding the Fourth Proportional to 65,103.90, 89,842.95 and 36,809.70

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Solution

The fourth proportional to 65,103.90, 89,842.95 and 36,809.70 is: 50,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.90 : 89,842.95 = 36,809.70 : x
  2. Step 2: Convert to fraction form
    65,103.90/89,842.95 = 36,809.70/x
  3. Step 3: Cross multiply
    65,103.90x = 89,842.95 × 36,809.70
  4. Step 4: Simplify right side
    65,103.90x = 3,307,092,036.62
  5. Step 5: Solve for x
    x = 3,307,092,036.62/65,103.90
  6. Step 6: Final answer
    x = 50,797.14

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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.