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Finding the Fourth Proportional to 91,195.53, 136,513.02 and 77,743.46

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Solution

The fourth proportional to 91,195.53, 136,513.02 and 77,743.46 is: 116,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,195.53 : 136,513.02 = 77,743.46 : x
  2. Step 2: Convert to fraction form
    91,195.53/136,513.02 = 77,743.46/x
  3. Step 3: Cross multiply
    91,195.53x = 136,513.02 × 77,743.46
  4. Step 4: Simplify right side
    91,195.53x = 10,612,993,535.75
  5. Step 5: Solve for x
    x = 10,612,993,535.75/91,195.53
  6. Step 6: Final answer
    x = 116,376.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.