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Finding the Fourth Proportional to 51,356, 70,871.28 and 27,804

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Solution

The fourth proportional to 51,356, 70,871.28 and 27,804 is: 38,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356 : 70,871.28 = 27,804 : x
  2. Step 2: Convert to fraction form
    51,356/70,871.28 = 27,804/x
  3. Step 3: Cross multiply
    51,356x = 70,871.28 × 27,804
  4. Step 4: Simplify right side
    51,356x = 1,970,505,069.12
  5. Step 5: Solve for x
    x = 1,970,505,069.12/51,356
  6. Step 6: Final answer
    x = 38,369.52

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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.