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Finding the Fourth Proportional to 51,302.70, 70,769.28 and 30,077.88

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Solution

The fourth proportional to 51,302.70, 70,769.28 and 30,077.88 is: 41,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.70 : 70,769.28 = 30,077.88 : x
  2. Step 2: Convert to fraction form
    51,302.70/70,769.28 = 30,077.88/x
  3. Step 3: Cross multiply
    51,302.70x = 70,769.28 × 30,077.88
  4. Step 4: Simplify right side
    51,302.70x = 2,128,589,911.53
  5. Step 5: Solve for x
    x = 2,128,589,911.53/51,302.70
  6. Step 6: Final answer
    x = 41,490.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.