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Finding the Fourth Proportional to 105,034.10, 157,551.15 and 91,912.10

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Solution

The fourth proportional to 105,034.10, 157,551.15 and 91,912.10 is: 137,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,034.10 : 157,551.15 = 91,912.10 : x
  2. Step 2: Convert to fraction form
    105,034.10/157,551.15 = 91,912.10/x
  3. Step 3: Cross multiply
    105,034.10x = 157,551.15 × 91,912.10
  4. Step 4: Simplify right side
    105,034.10x = 14,480,857,053.92
  5. Step 5: Solve for x
    x = 14,480,857,053.92/105,034.10
  6. Step 6: Final answer
    x = 137,868.15

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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.