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Finding the Fourth Proportional to 51,330, 70,835.40 and 27,778

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Solution

The fourth proportional to 51,330, 70,835.40 and 27,778 is: 38,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,330 : 70,835.40 = 27,778 : x
  2. Step 2: Convert to fraction form
    51,330/70,835.40 = 27,778/x
  3. Step 3: Cross multiply
    51,330x = 70,835.40 × 27,778
  4. Step 4: Simplify right side
    51,330x = 1,967,665,741.20
  5. Step 5: Solve for x
    x = 1,967,665,741.20/51,330
  6. Step 6: Final answer
    x = 38,333.64

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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.