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Finding the Fourth Proportional to 100,701.81, 150,910.16 and 78,417.09

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Solution

The fourth proportional to 100,701.81, 150,910.16 and 78,417.09 is: 117,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.81 : 150,910.16 = 78,417.09 : x
  2. Step 2: Convert to fraction form
    100,701.81/150,910.16 = 78,417.09/x
  3. Step 3: Cross multiply
    100,701.81x = 150,910.16 × 78,417.09
  4. Step 4: Simplify right side
    100,701.81x = 11,833,935,206.55
  5. Step 5: Solve for x
    x = 11,833,935,206.55/100,701.81
  6. Step 6: Final answer
    x = 117,514.62

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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.