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Finding the Fourth Proportional to 157,401.20, 236,101.80 and 82,492.40

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Solution

The fourth proportional to 157,401.20, 236,101.80 and 82,492.40 is: 123,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,401.20 : 236,101.80 = 82,492.40 : x
  2. Step 2: Convert to fraction form
    157,401.20/236,101.80 = 82,492.40/x
  3. Step 3: Cross multiply
    157,401.20x = 236,101.80 × 82,492.40
  4. Step 4: Simplify right side
    157,401.20x = 19,476,604,126.32
  5. Step 5: Solve for x
    x = 19,476,604,126.32/157,401.20
  6. Step 6: Final answer
    x = 123,738.60

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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.