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Finding the Fourth Proportional to 65,898.15, 90,939.50 and 35,683.71

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Solution

The fourth proportional to 65,898.15, 90,939.50 and 35,683.71 is: 49,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898.15 : 90,939.50 = 35,683.71 : x
  2. Step 2: Convert to fraction form
    65,898.15/90,939.50 = 35,683.71/x
  3. Step 3: Cross multiply
    65,898.15x = 90,939.50 × 35,683.71
  4. Step 4: Simplify right side
    65,898.15x = 3,245,058,567.13
  5. Step 5: Solve for x
    x = 3,245,058,567.13/65,898.15
  6. Step 6: Final answer
    x = 49,243.55

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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.