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Finding the Fourth Proportional to 65,112.60, 97,668.90 and 53,302.80

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Solution

The fourth proportional to 65,112.60, 97,668.90 and 53,302.80 is: 79,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.60 : 97,668.90 = 53,302.80 : x
  2. Step 2: Convert to fraction form
    65,112.60/97,668.90 = 53,302.80/x
  3. Step 3: Cross multiply
    65,112.60x = 97,668.90 × 53,302.80
  4. Step 4: Simplify right side
    65,112.60x = 5,206,025,842.92
  5. Step 5: Solve for x
    x = 5,206,025,842.92/65,112.60
  6. Step 6: Final answer
    x = 79,954.20

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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.