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Finding the Fourth Proportional to 100,049.81, 149,908.10 and 70,405.38

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Solution

The fourth proportional to 100,049.81, 149,908.10 and 70,405.38 is: 105,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,049.81 : 149,908.10 = 70,405.38 : x
  2. Step 2: Convert to fraction form
    100,049.81/149,908.10 = 70,405.38/x
  3. Step 3: Cross multiply
    100,049.81x = 149,908.10 × 70,405.38
  4. Step 4: Simplify right side
    100,049.81x = 10,554,336,393.55
  5. Step 5: Solve for x
    x = 10,554,336,393.55/100,049.81
  6. Step 6: Final answer
    x = 105,490.82

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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.