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Finding the Fourth Proportional to 51,428.81, 70,978.32 and 28,769.06

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Solution

The fourth proportional to 51,428.81, 70,978.32 and 28,769.06 is: 39,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.81 : 70,978.32 = 28,769.06 : x
  2. Step 2: Convert to fraction form
    51,428.81/70,978.32 = 28,769.06/x
  3. Step 3: Cross multiply
    51,428.81x = 70,978.32 × 28,769.06
  4. Step 4: Simplify right side
    51,428.81x = 2,041,979,048.04
  5. Step 5: Solve for x
    x = 2,041,979,048.04/51,428.81
  6. Step 6: Final answer
    x = 39,704.97

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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.