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Finding the Fourth Proportional to 194,381.78, 291,603.94 and 68,019.22

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Solution

The fourth proportional to 194,381.78, 291,603.94 and 68,019.22 is: 102,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,381.78 : 291,603.94 = 68,019.22 : x
  2. Step 2: Convert to fraction form
    194,381.78/291,603.94 = 68,019.22/x
  3. Step 3: Cross multiply
    194,381.78x = 291,603.94 × 68,019.22
  4. Step 4: Simplify right side
    194,381.78x = 19,834,671,648.67
  5. Step 5: Solve for x
    x = 19,834,671,648.67/194,381.78
  6. Step 6: Final answer
    x = 102,039.77

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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.