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Finding the Fourth Proportional to 75,322.54, 112,939.53 and 28,578.70

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Solution

The fourth proportional to 75,322.54, 112,939.53 and 28,578.70 is: 42,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.54 : 112,939.53 = 28,578.70 : x
  2. Step 2: Convert to fraction form
    75,322.54/112,939.53 = 28,578.70/x
  3. Step 3: Cross multiply
    75,322.54x = 112,939.53 × 28,578.70
  4. Step 4: Simplify right side
    75,322.54x = 3,227,664,946.01
  5. Step 5: Solve for x
    x = 3,227,664,946.01/75,322.54
  6. Step 6: Final answer
    x = 42,851.25

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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.