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Finding the Fourth Proportional to 51,988.82, 77,990.18 and 18,246.82

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Solution

The fourth proportional to 51,988.82, 77,990.18 and 18,246.82 is: 27,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.82 : 77,990.18 = 18,246.82 : x
  2. Step 2: Convert to fraction form
    51,988.82/77,990.18 = 18,246.82/x
  3. Step 3: Cross multiply
    51,988.82x = 77,990.18 × 18,246.82
  4. Step 4: Simplify right side
    51,988.82x = 1,423,072,776.23
  5. Step 5: Solve for x
    x = 1,423,072,776.23/51,988.82
  6. Step 6: Final answer
    x = 27,372.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.