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Finding the Fourth Proportional to 217,963.20, 326,944.80 and 77,726.40

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Solution

The fourth proportional to 217,963.20, 326,944.80 and 77,726.40 is: 116,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,963.20 : 326,944.80 = 77,726.40 : x
  2. Step 2: Convert to fraction form
    217,963.20/326,944.80 = 77,726.40/x
  3. Step 3: Cross multiply
    217,963.20x = 326,944.80 × 77,726.40
  4. Step 4: Simplify right side
    217,963.20x = 25,412,242,302.72
  5. Step 5: Solve for x
    x = 25,412,242,302.72/217,963.20
  6. Step 6: Final answer
    x = 116,589.60

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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.