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Finding the Fourth Proportional to 67,131.78, 100,478.64 and 49,357.74

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Solution

The fourth proportional to 67,131.78, 100,478.64 and 49,357.74 is: 73,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,131.78 : 100,478.64 = 49,357.74 : x
  2. Step 2: Convert to fraction form
    67,131.78/100,478.64 = 49,357.74/x
  3. Step 3: Cross multiply
    67,131.78x = 100,478.64 × 49,357.74
  4. Step 4: Simplify right side
    67,131.78x = 4,959,398,588.67
  5. Step 5: Solve for x
    x = 4,959,398,588.67/67,131.78
  6. Step 6: Final answer
    x = 73,875.57

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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.