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Finding the Fourth Proportional to 97,103.61, 133,986.29 and 89,255.59

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Solution

The fourth proportional to 97,103.61, 133,986.29 and 89,255.59 is: 123,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,103.61 : 133,986.29 = 89,255.59 : x
  2. Step 2: Convert to fraction form
    97,103.61/133,986.29 = 89,255.59/x
  3. Step 3: Cross multiply
    97,103.61x = 133,986.29 × 89,255.59
  4. Step 4: Simplify right side
    97,103.61x = 11,959,024,584.62
  5. Step 5: Solve for x
    x = 11,959,024,584.62/97,103.61
  6. Step 6: Final answer
    x = 123,157.36

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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.