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Finding the Fourth Proportional to 210,227.78, 315,154.16 and 77,077

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Solution

The fourth proportional to 210,227.78, 315,154.16 and 77,077 is: 115,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,227.78 : 315,154.16 = 77,077 : x
  2. Step 2: Convert to fraction form
    210,227.78/315,154.16 = 77,077/x
  3. Step 3: Cross multiply
    210,227.78x = 315,154.16 × 77,077
  4. Step 4: Simplify right side
    210,227.78x = 24,291,137,190.32
  5. Step 5: Solve for x
    x = 24,291,137,190.32/210,227.78
  6. Step 6: Final answer
    x = 115,546.75

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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.