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Finding the Fourth Proportional to 280,877.73, 421,254.23 and 81,154.41

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Solution

The fourth proportional to 280,877.73, 421,254.23 and 81,154.41 is: 121,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,877.73 : 421,254.23 = 81,154.41 : x
  2. Step 2: Convert to fraction form
    280,877.73/421,254.23 = 81,154.41/x
  3. Step 3: Cross multiply
    280,877.73x = 421,254.23 × 81,154.41
  4. Step 4: Simplify right side
    280,877.73x = 34,186,638,089.88
  5. Step 5: Solve for x
    x = 34,186,638,089.88/280,877.73
  6. Step 6: Final answer
    x = 121,713.59

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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.