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Finding the Fourth Proportional to 190,856.40, 286,039.80 and 106,616.40

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Solution

The fourth proportional to 190,856.40, 286,039.80 and 106,616.40 is: 159,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,856.40 : 286,039.80 = 106,616.40 : x
  2. Step 2: Convert to fraction form
    190,856.40/286,039.80 = 106,616.40/x
  3. Step 3: Cross multiply
    190,856.40x = 286,039.80 × 106,616.40
  4. Step 4: Simplify right side
    190,856.40x = 30,496,533,732.72
  5. Step 5: Solve for x
    x = 30,496,533,732.72/190,856.40
  6. Step 6: Final answer
    x = 159,787.85

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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.