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Finding the Fourth Proportional to 99,817.40, 137,771.16 and 65,831.96

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Solution

The fourth proportional to 99,817.40, 137,771.16 and 65,831.96 is: 90,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817.40 : 137,771.16 = 65,831.96 : x
  2. Step 2: Convert to fraction form
    99,817.40/137,771.16 = 65,831.96/x
  3. Step 3: Cross multiply
    99,817.40x = 137,771.16 × 65,831.96
  4. Step 4: Simplify right side
    99,817.40x = 9,069,745,494.27
  5. Step 5: Solve for x
    x = 9,069,745,494.27/99,817.40
  6. Step 6: Final answer
    x = 90,863.37

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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.