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Finding the Fourth Proportional to 210,627.78, 315,984.02 and 77,508.74

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Solution

The fourth proportional to 210,627.78, 315,984.02 and 77,508.74 is: 116,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,627.78 : 315,984.02 = 77,508.74 : x
  2. Step 2: Convert to fraction form
    210,627.78/315,984.02 = 77,508.74/x
  3. Step 3: Cross multiply
    210,627.78x = 315,984.02 × 77,508.74
  4. Step 4: Simplify right side
    210,627.78x = 24,491,521,282.87
  5. Step 5: Solve for x
    x = 24,491,521,282.87/210,627.78
  6. Step 6: Final answer
    x = 116,278.69

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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.