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Finding the Fourth Proportional to 91,102.43, 136,654.46 and 31,938.01

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Solution

The fourth proportional to 91,102.43, 136,654.46 and 31,938.01 is: 47,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,102.43 : 136,654.46 = 31,938.01 : x
  2. Step 2: Convert to fraction form
    91,102.43/136,654.46 = 31,938.01/x
  3. Step 3: Cross multiply
    91,102.43x = 136,654.46 × 31,938.01
  4. Step 4: Simplify right side
    91,102.43x = 4,364,471,510.02
  5. Step 5: Solve for x
    x = 4,364,471,510.02/91,102.43
  6. Step 6: Final answer
    x = 47,907.30

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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.