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Finding the Fourth Proportional to 65,129.16, 89,883.07 and 36,451.70

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Solution

The fourth proportional to 65,129.16, 89,883.07 and 36,451.70 is: 50,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.16 : 89,883.07 = 36,451.70 : x
  2. Step 2: Convert to fraction form
    65,129.16/89,883.07 = 36,451.70/x
  3. Step 3: Cross multiply
    65,129.16x = 89,883.07 × 36,451.70
  4. Step 4: Simplify right side
    65,129.16x = 3,276,390,400.22
  5. Step 5: Solve for x
    x = 3,276,390,400.22/65,129.16
  6. Step 6: Final answer
    x = 50,306.05

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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.