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Finding the Fourth Proportional to 77,315.55, 115,874.21 and 67,278.57

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Solution

The fourth proportional to 77,315.55, 115,874.21 and 67,278.57 is: 100,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.55 : 115,874.21 = 67,278.57 : x
  2. Step 2: Convert to fraction form
    77,315.55/115,874.21 = 67,278.57/x
  3. Step 3: Cross multiply
    77,315.55x = 115,874.21 × 67,278.57
  4. Step 4: Simplify right side
    77,315.55x = 7,795,850,812.29
  5. Step 5: Solve for x
    x = 7,795,850,812.29/77,315.55
  6. Step 6: Final answer
    x = 100,831.60

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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.