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Finding the Fourth Proportional to 210,065.76, 314,996.31 and 69,777

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Solution

The fourth proportional to 210,065.76, 314,996.31 and 69,777 is: 104,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,065.76 : 314,996.31 = 69,777 : x
  2. Step 2: Convert to fraction form
    210,065.76/314,996.31 = 69,777/x
  3. Step 3: Cross multiply
    210,065.76x = 314,996.31 × 69,777
  4. Step 4: Simplify right side
    210,065.76x = 21,979,497,522.87
  5. Step 5: Solve for x
    x = 21,979,497,522.87/210,065.76
  6. Step 6: Final answer
    x = 104,631.51

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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.