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Finding the Fourth Proportional to 268,492.80, 402,796.80 and 81,523.20

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Solution

The fourth proportional to 268,492.80, 402,796.80 and 81,523.20 is: 122,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,492.80 : 402,796.80 = 81,523.20 : x
  2. Step 2: Convert to fraction form
    268,492.80/402,796.80 = 81,523.20/x
  3. Step 3: Cross multiply
    268,492.80x = 402,796.80 × 81,523.20
  4. Step 4: Simplify right side
    268,492.80x = 32,837,284,085.76
  5. Step 5: Solve for x
    x = 32,837,284,085.76/268,492.80
  6. Step 6: Final answer
    x = 122,302.29

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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.