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Finding the Fourth Proportional to 75,051, 103,575.99 and 42,786.39

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Solution

The fourth proportional to 75,051, 103,575.99 and 42,786.39 is: 59,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051 : 103,575.99 = 42,786.39 : x
  2. Step 2: Convert to fraction form
    75,051/103,575.99 = 42,786.39/x
  3. Step 3: Cross multiply
    75,051x = 103,575.99 × 42,786.39
  4. Step 4: Simplify right side
    75,051x = 4,431,642,702.78
  5. Step 5: Solve for x
    x = 4,431,642,702.78/75,051
  6. Step 6: Final answer
    x = 59,048.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.