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Finding the Fourth Proportional to 239,408, 359,112 and 91,664

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Solution

The fourth proportional to 239,408, 359,112 and 91,664 is: 137,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,408 : 359,112 = 91,664 : x
  2. Step 2: Convert to fraction form
    239,408/359,112 = 91,664/x
  3. Step 3: Cross multiply
    239,408x = 359,112 × 91,664
  4. Step 4: Simplify right side
    239,408x = 32,917,642,368
  5. Step 5: Solve for x
    x = 32,917,642,368/239,408
  6. Step 6: Final answer
    x = 137,496

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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.