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Finding the Fourth Proportional to 51,402.56, 76,916.99 and 42,434.48

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Solution

The fourth proportional to 51,402.56, 76,916.99 and 42,434.48 is: 63,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.56 : 76,916.99 = 42,434.48 : x
  2. Step 2: Convert to fraction form
    51,402.56/76,916.99 = 42,434.48/x
  3. Step 3: Cross multiply
    51,402.56x = 76,916.99 × 42,434.48
  4. Step 4: Simplify right side
    51,402.56x = 3,263,932,772.19
  5. Step 5: Solve for x
    x = 3,263,932,772.19/51,402.56
  6. Step 6: Final answer
    x = 63,497.48

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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.