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Finding the Fourth Proportional to 133,206.82, 199,638 and 99,663.71

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Solution

The fourth proportional to 133,206.82, 199,638 and 99,663.71 is: 149,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.82 : 199,638 = 99,663.71 : x
  2. Step 2: Convert to fraction form
    133,206.82/199,638 = 99,663.71/x
  3. Step 3: Cross multiply
    133,206.82x = 199,638 × 99,663.71
  4. Step 4: Simplify right side
    133,206.82x = 19,896,663,113.11
  5. Step 5: Solve for x
    x = 19,896,663,113.11/133,206.82
  6. Step 6: Final answer
    x = 149,366.70

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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.