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Finding the Fourth Proportional to 96,667.78, 145,026.78 and 30,109

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Solution

The fourth proportional to 96,667.78, 145,026.78 and 30,109 is: 45,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,667.78 : 145,026.78 = 30,109 : x
  2. Step 2: Convert to fraction form
    96,667.78/145,026.78 = 30,109/x
  3. Step 3: Cross multiply
    96,667.78x = 145,026.78 × 30,109
  4. Step 4: Simplify right side
    96,667.78x = 4,366,611,319.02
  5. Step 5: Solve for x
    x = 4,366,611,319.02/96,667.78
  6. Step 6: Final answer
    x = 45,171.32

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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.