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Finding the Fourth Proportional to 65,154.79, 89,906 and 36,476.02

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Solution

The fourth proportional to 65,154.79, 89,906 and 36,476.02 is: 50,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,154.79 : 89,906 = 36,476.02 : x
  2. Step 2: Convert to fraction form
    65,154.79/89,906 = 36,476.02/x
  3. Step 3: Cross multiply
    65,154.79x = 89,906 × 36,476.02
  4. Step 4: Simplify right side
    65,154.79x = 3,279,413,054.12
  5. Step 5: Solve for x
    x = 3,279,413,054.12/65,154.79
  6. Step 6: Final answer
    x = 50,332.65

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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.