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Finding the Fourth Proportional to 70,119.84, 96,763.92 and 38,289

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Solution

The fourth proportional to 70,119.84, 96,763.92 and 38,289 is: 52,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119.84 : 96,763.92 = 38,289 : x
  2. Step 2: Convert to fraction form
    70,119.84/96,763.92 = 38,289/x
  3. Step 3: Cross multiply
    70,119.84x = 96,763.92 × 38,289
  4. Step 4: Simplify right side
    70,119.84x = 3,704,993,732.88
  5. Step 5: Solve for x
    x = 3,704,993,732.88/70,119.84
  6. Step 6: Final answer
    x = 52,838.02

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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.