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Finding the Fourth Proportional to 65,309.98, 90,023.52 and 51,489.70

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Solution

The fourth proportional to 65,309.98, 90,023.52 and 51,489.70 is: 70,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.98 : 90,023.52 = 51,489.70 : x
  2. Step 2: Convert to fraction form
    65,309.98/90,023.52 = 51,489.70/x
  3. Step 3: Cross multiply
    65,309.98x = 90,023.52 × 51,489.70
  4. Step 4: Simplify right side
    65,309.98x = 4,635,284,037.74
  5. Step 5: Solve for x
    x = 4,635,284,037.74/65,309.98
  6. Step 6: Final answer
    x = 70,973.59

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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.