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Finding the Fourth Proportional to 97,842.40, 135,048 and 91,193.92

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Solution

The fourth proportional to 97,842.40, 135,048 and 91,193.92 is: 125,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.40 : 135,048 = 91,193.92 : x
  2. Step 2: Convert to fraction form
    97,842.40/135,048 = 91,193.92/x
  3. Step 3: Cross multiply
    97,842.40x = 135,048 × 91,193.92
  4. Step 4: Simplify right side
    97,842.40x = 12,315,556,508.16
  5. Step 5: Solve for x
    x = 12,315,556,508.16/97,842.40
  6. Step 6: Final answer
    x = 125,871.37

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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.