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Finding the Fourth Proportional to 154,638, 213,400.89 and 90,145.53

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Solution

The fourth proportional to 154,638, 213,400.89 and 90,145.53 is: 124,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,638 : 213,400.89 = 90,145.53 : x
  2. Step 2: Convert to fraction form
    154,638/213,400.89 = 90,145.53/x
  3. Step 3: Cross multiply
    154,638x = 213,400.89 × 90,145.53
  4. Step 4: Simplify right side
    154,638x = 19,237,136,331.52
  5. Step 5: Solve for x
    x = 19,237,136,331.52/154,638
  6. Step 6: Final answer
    x = 124,401.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.