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Finding the Fourth Proportional to 65,898, 90,941.52 and 36,090

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Solution

The fourth proportional to 65,898, 90,941.52 and 36,090 is: 49,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898 : 90,941.52 = 36,090 : x
  2. Step 2: Convert to fraction form
    65,898/90,941.52 = 36,090/x
  3. Step 3: Cross multiply
    65,898x = 90,941.52 × 36,090
  4. Step 4: Simplify right side
    65,898x = 3,282,079,456.80
  5. Step 5: Solve for x
    x = 3,282,079,456.80/65,898
  6. Step 6: Final answer
    x = 49,805.45

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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.