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Finding the Fourth Proportional to 157,521, 236,351.10 and 82,623.24

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Solution

The fourth proportional to 157,521, 236,351.10 and 82,623.24 is: 123,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,521 : 236,351.10 = 82,623.24 : x
  2. Step 2: Convert to fraction form
    157,521/236,351.10 = 82,623.24/x
  3. Step 3: Cross multiply
    157,521x = 236,351.10 × 82,623.24
  4. Step 4: Simplify right side
    157,521x = 19,528,093,659.56
  5. Step 5: Solve for x
    x = 19,528,093,659.56/157,521
  6. Step 6: Final answer
    x = 123,971.37

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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.