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Finding the Fourth Proportional to 99,763.80, 149,213.70 and 89,309.40

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Solution

The fourth proportional to 99,763.80, 149,213.70 and 89,309.40 is: 133,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,763.80 : 149,213.70 = 89,309.40 : x
  2. Step 2: Convert to fraction form
    99,763.80/149,213.70 = 89,309.40/x
  3. Step 3: Cross multiply
    99,763.80x = 149,213.70 × 89,309.40
  4. Step 4: Simplify right side
    99,763.80x = 13,326,186,018.78
  5. Step 5: Solve for x
    x = 13,326,186,018.78/99,763.80
  6. Step 6: Final answer
    x = 133,577.37

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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.