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Finding the Fourth Proportional to 65,178.72, 97,778.67 and 20,189.57

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Solution

The fourth proportional to 65,178.72, 97,778.67 and 20,189.57 is: 30,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.72 : 97,778.67 = 20,189.57 : x
  2. Step 2: Convert to fraction form
    65,178.72/97,778.67 = 20,189.57/x
  3. Step 3: Cross multiply
    65,178.72x = 97,778.67 × 20,189.57
  4. Step 4: Simplify right side
    65,178.72x = 1,974,109,302.47
  5. Step 5: Solve for x
    x = 1,974,109,302.47/65,178.72
  6. Step 6: Final answer
    x = 30,287.64

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1.5x scale

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.