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Finding the Fourth Proportional to 75,041.28, 112,578.56 and 28,294.56

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Solution

The fourth proportional to 75,041.28, 112,578.56 and 28,294.56 is: 42,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,041.28 : 112,578.56 = 28,294.56 : x
  2. Step 2: Convert to fraction form
    75,041.28/112,578.56 = 28,294.56/x
  3. Step 3: Cross multiply
    75,041.28x = 112,578.56 × 28,294.56
  4. Step 4: Simplify right side
    75,041.28x = 3,185,360,820.63
  5. Step 5: Solve for x
    x = 3,185,360,820.63/75,041.28
  6. Step 6: Final answer
    x = 42,448.11

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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.