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Finding the Fourth Proportional to 242,510.64, 363,806.73 and 109,387.68

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Solution

The fourth proportional to 242,510.64, 363,806.73 and 109,387.68 is: 164,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,510.64 : 363,806.73 = 109,387.68 : x
  2. Step 2: Convert to fraction form
    242,510.64/363,806.73 = 109,387.68/x
  3. Step 3: Cross multiply
    242,510.64x = 363,806.73 × 109,387.68
  4. Step 4: Simplify right side
    242,510.64x = 39,795,974,163.09
  5. Step 5: Solve for x
    x = 39,795,974,163.09/242,510.64
  6. Step 6: Final answer
    x = 164,099.91

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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.