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Finding the Fourth Proportional to 100,029.10, 149,715.60 and 77,721.70

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Solution

The fourth proportional to 100,029.10, 149,715.60 and 77,721.70 is: 116,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.10 : 149,715.60 = 77,721.70 : x
  2. Step 2: Convert to fraction form
    100,029.10/149,715.60 = 77,721.70/x
  3. Step 3: Cross multiply
    100,029.10x = 149,715.60 × 77,721.70
  4. Step 4: Simplify right side
    100,029.10x = 11,636,150,948.52
  5. Step 5: Solve for x
    x = 11,636,150,948.52/100,029.10
  6. Step 6: Final answer
    x = 116,327.66

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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.