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Finding the Fourth Proportional to 138,829.84, 208,281.62 and 72,250.27

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Solution

The fourth proportional to 138,829.84, 208,281.62 and 72,250.27 is: 108,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.84 : 208,281.62 = 72,250.27 : x
  2. Step 2: Convert to fraction form
    138,829.84/208,281.62 = 72,250.27/x
  3. Step 3: Cross multiply
    138,829.84x = 208,281.62 × 72,250.27
  4. Step 4: Simplify right side
    138,829.84x = 15,048,403,281.04
  5. Step 5: Solve for x
    x = 15,048,403,281.04/138,829.84
  6. Step 6: Final answer
    x = 108,394.59

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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.