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Finding the Fourth Proportional to 51,200, 70,656 and 27,648

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Solution

The fourth proportional to 51,200, 70,656 and 27,648 is: 38,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200 : 70,656 = 27,648 : x
  2. Step 2: Convert to fraction form
    51,200/70,656 = 27,648/x
  3. Step 3: Cross multiply
    51,200x = 70,656 × 27,648
  4. Step 4: Simplify right side
    51,200x = 1,953,497,088
  5. Step 5: Solve for x
    x = 1,953,497,088/51,200
  6. Step 6: Final answer
    x = 38,154.24

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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.