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Finding the Fourth Proportional to 138,851.10, 208,228.05 and 72,269.10

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Solution

The fourth proportional to 138,851.10, 208,228.05 and 72,269.10 is: 108,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,851.10 : 208,228.05 = 72,269.10 : x
  2. Step 2: Convert to fraction form
    138,851.10/208,228.05 = 72,269.10/x
  3. Step 3: Cross multiply
    138,851.10x = 208,228.05 × 72,269.10
  4. Step 4: Simplify right side
    138,851.10x = 15,048,453,768.26
  5. Step 5: Solve for x
    x = 15,048,453,768.26/138,851.10
  6. Step 6: Final answer
    x = 108,378.35

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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.