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Finding the Fourth Proportional to 126,740, 174,901.20 and 73,748

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Solution

The fourth proportional to 126,740, 174,901.20 and 73,748 is: 101,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,740 : 174,901.20 = 73,748 : x
  2. Step 2: Convert to fraction form
    126,740/174,901.20 = 73,748/x
  3. Step 3: Cross multiply
    126,740x = 174,901.20 × 73,748
  4. Step 4: Simplify right side
    126,740x = 12,898,613,697.60
  5. Step 5: Solve for x
    x = 12,898,613,697.60/126,740
  6. Step 6: Final answer
    x = 101,772.24

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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.