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Finding the Fourth Proportional to 187,578.48, 280,702.68 and 165,435

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Solution

The fourth proportional to 187,578.48, 280,702.68 and 165,435 is: 247,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,578.48 : 280,702.68 = 165,435 : x
  2. Step 2: Convert to fraction form
    187,578.48/280,702.68 = 165,435/x
  3. Step 3: Cross multiply
    187,578.48x = 280,702.68 × 165,435
  4. Step 4: Simplify right side
    187,578.48x = 46,438,047,865.80
  5. Step 5: Solve for x
    x = 46,438,047,865.80/187,578.48
  6. Step 6: Final answer
    x = 247,565.97

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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.