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Finding the Fourth Proportional to 68,434.70, 102,019.47 and 67,356.24

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Solution

The fourth proportional to 68,434.70, 102,019.47 and 67,356.24 is: 100,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,434.70 : 102,019.47 = 67,356.24 : x
  2. Step 2: Convert to fraction form
    68,434.70/102,019.47 = 67,356.24/x
  3. Step 3: Cross multiply
    68,434.70x = 102,019.47 × 67,356.24
  4. Step 4: Simplify right side
    68,434.70x = 6,871,647,905.99
  5. Step 5: Solve for x
    x = 6,871,647,905.99/68,434.70
  6. Step 6: Final answer
    x = 100,411.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.