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Finding the Fourth Proportional to 66,480, 91,735.20 and 38,189.76

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Solution

The fourth proportional to 66,480, 91,735.20 and 38,189.76 is: 52,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 91,735.20 = 38,189.76 : x
  2. Step 2: Convert to fraction form
    66,480/91,735.20 = 38,189.76/x
  3. Step 3: Cross multiply
    66,480x = 91,735.20 × 38,189.76
  4. Step 4: Simplify right side
    66,480x = 3,503,345,271.55
  5. Step 5: Solve for x
    x = 3,503,345,271.55/66,480
  6. Step 6: Final answer
    x = 52,697.73

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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.