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Finding the Fourth Proportional to 100,748, 138,148.09 and 98,123.60

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Solution

The fourth proportional to 100,748, 138,148.09 and 98,123.60 is: 134,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748 : 138,148.09 = 98,123.60 : x
  2. Step 2: Convert to fraction form
    100,748/138,148.09 = 98,123.60/x
  3. Step 3: Cross multiply
    100,748x = 138,148.09 × 98,123.60
  4. Step 4: Simplify right side
    100,748x = 13,555,587,923.92
  5. Step 5: Solve for x
    x = 13,555,587,923.92/100,748
  6. Step 6: Final answer
    x = 134,549.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.