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Finding the Fourth Proportional to 280,776.84, 421,103.40 and 81,053.82

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Solution

The fourth proportional to 280,776.84, 421,103.40 and 81,053.82 is: 121,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,776.84 : 421,103.40 = 81,053.82 : x
  2. Step 2: Convert to fraction form
    280,776.84/421,103.40 = 81,053.82/x
  3. Step 3: Cross multiply
    280,776.84x = 421,103.40 × 81,053.82
  4. Step 4: Simplify right side
    280,776.84x = 34,132,039,184.99
  5. Step 5: Solve for x
    x = 34,132,039,184.99/280,776.84
  6. Step 6: Final answer
    x = 121,562.87

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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.