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Finding the Fourth Proportional to 75,909.87, 113,712.51 and 69,709.32

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Solution

The fourth proportional to 75,909.87, 113,712.51 and 69,709.32 is: 104,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.87 : 113,712.51 = 69,709.32 : x
  2. Step 2: Convert to fraction form
    75,909.87/113,712.51 = 69,709.32/x
  3. Step 3: Cross multiply
    75,909.87x = 113,712.51 × 69,709.32
  4. Step 4: Simplify right side
    75,909.87x = 7,926,821,747.59
  5. Step 5: Solve for x
    x = 7,926,821,747.59/75,909.87
  6. Step 6: Final answer
    x = 104,424.12

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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.