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Finding the Fourth Proportional to 268,803.76, 403,264.04 and 81,810.40

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Solution

The fourth proportional to 268,803.76, 403,264.04 and 81,810.40 is: 122,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,803.76 : 403,264.04 = 81,810.40 : x
  2. Step 2: Convert to fraction form
    268,803.76/403,264.04 = 81,810.40/x
  3. Step 3: Cross multiply
    268,803.76x = 403,264.04 × 81,810.40
  4. Step 4: Simplify right side
    268,803.76x = 32,991,192,418.02
  5. Step 5: Solve for x
    x = 32,991,192,418.02/268,803.76
  6. Step 6: Final answer
    x = 122,733.37

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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.