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Finding the Fourth Proportional to 187,155.72, 280,468.19 and 144,838.82

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Solution

The fourth proportional to 187,155.72, 280,468.19 and 144,838.82 is: 217,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,155.72 : 280,468.19 = 144,838.82 : x
  2. Step 2: Convert to fraction form
    187,155.72/280,468.19 = 144,838.82/x
  3. Step 3: Cross multiply
    187,155.72x = 280,468.19 × 144,838.82
  4. Step 4: Simplify right side
    187,155.72x = 40,622,682,750.40
  5. Step 5: Solve for x
    x = 40,622,682,750.40/187,155.72
  6. Step 6: Final answer
    x = 217,052.85

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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.