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Finding the Fourth Proportional to 190,645.49, 285,737.25 and 106,315.94

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Solution

The fourth proportional to 190,645.49, 285,737.25 and 106,315.94 is: 159,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,645.49 : 285,737.25 = 106,315.94 : x
  2. Step 2: Convert to fraction form
    190,645.49/285,737.25 = 106,315.94/x
  3. Step 3: Cross multiply
    190,645.49x = 285,737.25 × 106,315.94
  4. Step 4: Simplify right side
    190,645.49x = 30,378,424,326.77
  5. Step 5: Solve for x
    x = 30,378,424,326.77/190,645.49
  6. Step 6: Final answer
    x = 159,345.10

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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.