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Finding the Fourth Proportional to 51,236, 70,705.68 and 27,684

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Solution

The fourth proportional to 51,236, 70,705.68 and 27,684 is: 38,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236 : 70,705.68 = 27,684 : x
  2. Step 2: Convert to fraction form
    51,236/70,705.68 = 27,684/x
  3. Step 3: Cross multiply
    51,236x = 70,705.68 × 27,684
  4. Step 4: Simplify right side
    51,236x = 1,957,416,045.12
  5. Step 5: Solve for x
    x = 1,957,416,045.12/51,236
  6. Step 6: Final answer
    x = 38,203.92

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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.