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Finding the Fourth Proportional to 217,853.70, 326,780.55 and 77,616.90

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Solution

The fourth proportional to 217,853.70, 326,780.55 and 77,616.90 is: 116,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.70 : 326,780.55 = 77,616.90 : x
  2. Step 2: Convert to fraction form
    217,853.70/326,780.55 = 77,616.90/x
  3. Step 3: Cross multiply
    217,853.70x = 326,780.55 × 77,616.90
  4. Step 4: Simplify right side
    217,853.70x = 25,363,693,271.30
  5. Step 5: Solve for x
    x = 25,363,693,271.30/217,853.70
  6. Step 6: Final answer
    x = 116,425.35

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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.