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Finding the Fourth Proportional to 51,980.70, 77,838.21 and 28,581.42

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Solution

The fourth proportional to 51,980.70, 77,838.21 and 28,581.42 is: 42,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.70 : 77,838.21 = 28,581.42 : x
  2. Step 2: Convert to fraction form
    51,980.70/77,838.21 = 28,581.42/x
  3. Step 3: Cross multiply
    51,980.70x = 77,838.21 × 28,581.42
  4. Step 4: Simplify right side
    51,980.70x = 2,224,726,572.06
  5. Step 5: Solve for x
    x = 2,224,726,572.06/51,980.70
  6. Step 6: Final answer
    x = 42,799.09

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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.