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Finding the Fourth Proportional to 281,315, 421,972.50 and 84,323

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Solution

The fourth proportional to 281,315, 421,972.50 and 84,323 is: 126,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,315 : 421,972.50 = 84,323 : x
  2. Step 2: Convert to fraction form
    281,315/421,972.50 = 84,323/x
  3. Step 3: Cross multiply
    281,315x = 421,972.50 × 84,323
  4. Step 4: Simplify right side
    281,315x = 35,581,987,117.50
  5. Step 5: Solve for x
    x = 35,581,987,117.50/281,315
  6. Step 6: Final answer
    x = 126,484.50

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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.