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Finding the Fourth Proportional to 99,769.80, 149,222.70 and 89,315.40

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Solution

The fourth proportional to 99,769.80, 149,222.70 and 89,315.40 is: 133,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.80 : 149,222.70 = 89,315.40 : x
  2. Step 2: Convert to fraction form
    99,769.80/149,222.70 = 89,315.40/x
  3. Step 3: Cross multiply
    99,769.80x = 149,222.70 × 89,315.40
  4. Step 4: Simplify right side
    99,769.80x = 13,327,885,139.58
  5. Step 5: Solve for x
    x = 13,327,885,139.58/99,769.80
  6. Step 6: Final answer
    x = 133,586.37

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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.