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Finding the Fourth Proportional to 75,920, 113,737.44 and 70,191.68

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Solution

The fourth proportional to 75,920, 113,737.44 and 70,191.68 is: 105,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920 : 113,737.44 = 70,191.68 : x
  2. Step 2: Convert to fraction form
    75,920/113,737.44 = 70,191.68/x
  3. Step 3: Cross multiply
    75,920x = 113,737.44 × 70,191.68
  4. Step 4: Simplify right side
    75,920x = 7,983,421,992.50
  5. Step 5: Solve for x
    x = 7,983,421,992.50/75,920
  6. Step 6: Final answer
    x = 105,155.72

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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.