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Finding the Fourth Proportional to 106,298.51, 159,447.97 and 99,803.12

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Solution

The fourth proportional to 106,298.51, 159,447.97 and 99,803.12 is: 149,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.51 : 159,447.97 = 99,803.12 : x
  2. Step 2: Convert to fraction form
    106,298.51/159,447.97 = 99,803.12/x
  3. Step 3: Cross multiply
    106,298.51x = 159,447.97 × 99,803.12
  4. Step 4: Simplify right side
    106,298.51x = 15,913,404,384.65
  5. Step 5: Solve for x
    x = 15,913,404,384.65/106,298.51
  6. Step 6: Final answer
    x = 149,704.87

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1.5x scale

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.