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Finding the Fourth Proportional to 65,486.74, 98,147.87 and 28,002.78

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Solution

The fourth proportional to 65,486.74, 98,147.87 and 28,002.78 is: 41,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486.74 : 98,147.87 = 28,002.78 : x
  2. Step 2: Convert to fraction form
    65,486.74/98,147.87 = 28,002.78/x
  3. Step 3: Cross multiply
    65,486.74x = 98,147.87 × 28,002.78
  4. Step 4: Simplify right side
    65,486.74x = 2,748,413,211.08
  5. Step 5: Solve for x
    x = 2,748,413,211.08/65,486.74
  6. Step 6: Final answer
    x = 41,969.00

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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.