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Finding the Fourth Proportional to 51,260, 70,738.80 and 27,708

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Solution

The fourth proportional to 51,260, 70,738.80 and 27,708 is: 38,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,260 : 70,738.80 = 27,708 : x
  2. Step 2: Convert to fraction form
    51,260/70,738.80 = 27,708/x
  3. Step 3: Cross multiply
    51,260x = 70,738.80 × 27,708
  4. Step 4: Simplify right side
    51,260x = 1,960,030,670.40
  5. Step 5: Solve for x
    x = 1,960,030,670.40/51,260
  6. Step 6: Final answer
    x = 38,237.04

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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.