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Finding the Fourth Proportional to 50,642.49, 75,770.98 and 30,578.13

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Solution

The fourth proportional to 50,642.49, 75,770.98 and 30,578.13 is: 45,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.49 : 75,770.98 = 30,578.13 : x
  2. Step 2: Convert to fraction form
    50,642.49/75,770.98 = 30,578.13/x
  3. Step 3: Cross multiply
    50,642.49x = 75,770.98 × 30,578.13
  4. Step 4: Simplify right side
    50,642.49x = 2,316,934,876.67
  5. Step 5: Solve for x
    x = 2,316,934,876.67/50,642.49
  6. Step 6: Final answer
    x = 45,750.81

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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.