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Finding the Fourth Proportional to 65,708.79, 90,678.16 and 35,494.11

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Solution

The fourth proportional to 65,708.79, 90,678.16 and 35,494.11 is: 48,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.79 : 90,678.16 = 35,494.11 : x
  2. Step 2: Convert to fraction form
    65,708.79/90,678.16 = 35,494.11/x
  3. Step 3: Cross multiply
    65,708.79x = 90,678.16 × 35,494.11
  4. Step 4: Simplify right side
    65,708.79x = 3,218,540,585.64
  5. Step 5: Solve for x
    x = 3,218,540,585.64/65,708.79
  6. Step 6: Final answer
    x = 48,981.89

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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.