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Finding the Fourth Proportional to 157,418.20, 236,127.30 and 82,509.40

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Solution

The fourth proportional to 157,418.20, 236,127.30 and 82,509.40 is: 123,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,418.20 : 236,127.30 = 82,509.40 : x
  2. Step 2: Convert to fraction form
    157,418.20/236,127.30 = 82,509.40/x
  3. Step 3: Cross multiply
    157,418.20x = 236,127.30 × 82,509.40
  4. Step 4: Simplify right side
    157,418.20x = 19,482,721,846.62
  5. Step 5: Solve for x
    x = 19,482,721,846.62/157,418.20
  6. Step 6: Final answer
    x = 123,764.10

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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.