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Finding the Fourth Proportional to 65,892.65, 90,931.72 and 35,678

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Solution

The fourth proportional to 65,892.65, 90,931.72 and 35,678 is: 49,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892.65 : 90,931.72 = 35,678 : x
  2. Step 2: Convert to fraction form
    65,892.65/90,931.72 = 35,678/x
  3. Step 3: Cross multiply
    65,892.65x = 90,931.72 × 35,678
  4. Step 4: Simplify right side
    65,892.65x = 3,244,261,906.16
  5. Step 5: Solve for x
    x = 3,244,261,906.16/65,892.65
  6. Step 6: Final answer
    x = 49,235.57

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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.