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Finding the Fourth Proportional to 138,920.78, 208,153.36 and 58,894.81

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Solution

The fourth proportional to 138,920.78, 208,153.36 and 58,894.81 is: 88,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.78 : 208,153.36 = 58,894.81 : x
  2. Step 2: Convert to fraction form
    138,920.78/208,153.36 = 58,894.81/x
  3. Step 3: Cross multiply
    138,920.78x = 208,153.36 × 58,894.81
  4. Step 4: Simplify right side
    138,920.78x = 12,259,152,141.30
  5. Step 5: Solve for x
    x = 12,259,152,141.30/138,920.78
  6. Step 6: Final answer
    x = 88,245.63

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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.