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Finding the Fourth Proportional to 65,651.90, 90,408.93 and 57,034.16

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Solution

The fourth proportional to 65,651.90, 90,408.93 and 57,034.16 is: 78,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651.90 : 90,408.93 = 57,034.16 : x
  2. Step 2: Convert to fraction form
    65,651.90/90,408.93 = 57,034.16/x
  3. Step 3: Cross multiply
    65,651.90x = 90,408.93 × 57,034.16
  4. Step 4: Simplify right side
    65,651.90x = 5,156,396,927.00
  5. Step 5: Solve for x
    x = 5,156,396,927.00/65,651.90
  6. Step 6: Final answer
    x = 78,541.48

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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.