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Finding the Fourth Proportional to 120,605.06, 180,913.26 and 99,506

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Solution

The fourth proportional to 120,605.06, 180,913.26 and 99,506 is: 149,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.06 : 180,913.26 = 99,506 : x
  2. Step 2: Convert to fraction form
    120,605.06/180,913.26 = 99,506/x
  3. Step 3: Cross multiply
    120,605.06x = 180,913.26 × 99,506
  4. Step 4: Simplify right side
    120,605.06x = 18,001,954,849.56
  5. Step 5: Solve for x
    x = 18,001,954,849.56/120,605.06
  6. Step 6: Final answer
    x = 149,263.68

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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.