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Finding the Fourth Proportional to 51,837.68, 77,838.53 and 39,371.78

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Solution

The fourth proportional to 51,837.68, 77,838.53 and 39,371.78 is: 59,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,837.68 : 77,838.53 = 39,371.78 : x
  2. Step 2: Convert to fraction form
    51,837.68/77,838.53 = 39,371.78/x
  3. Step 3: Cross multiply
    51,837.68x = 77,838.53 × 39,371.78
  4. Step 4: Simplify right side
    51,837.68x = 3,064,640,892.63
  5. Step 5: Solve for x
    x = 3,064,640,892.63/51,837.68
  6. Step 6: Final answer
    x = 59,119.95

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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.