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Finding the Fourth Proportional to 100,667.40, 151,098.30 and 61,301.40

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Solution

The fourth proportional to 100,667.40, 151,098.30 and 61,301.40 is: 92,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,667.40 : 151,098.30 = 61,301.40 : x
  2. Step 2: Convert to fraction form
    100,667.40/151,098.30 = 61,301.40/x
  3. Step 3: Cross multiply
    100,667.40x = 151,098.30 × 61,301.40
  4. Step 4: Simplify right side
    100,667.40x = 9,262,537,327.62
  5. Step 5: Solve for x
    x = 9,262,537,327.62/100,667.40
  6. Step 6: Final answer
    x = 92,011.29

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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.