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Finding the Fourth Proportional to 84,981.76, 127,475.02 and 28,822

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Solution

The fourth proportional to 84,981.76, 127,475.02 and 28,822 is: 43,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,981.76 : 127,475.02 = 28,822 : x
  2. Step 2: Convert to fraction form
    84,981.76/127,475.02 = 28,822/x
  3. Step 3: Cross multiply
    84,981.76x = 127,475.02 × 28,822
  4. Step 4: Simplify right side
    84,981.76x = 3,674,085,026.44
  5. Step 5: Solve for x
    x = 3,674,085,026.44/84,981.76
  6. Step 6: Final answer
    x = 43,233.81

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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.