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Finding the Fourth Proportional to 207,618.10, 311,427.15 and 102,642.10

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Solution

The fourth proportional to 207,618.10, 311,427.15 and 102,642.10 is: 153,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,618.10 : 311,427.15 = 102,642.10 : x
  2. Step 2: Convert to fraction form
    207,618.10/311,427.15 = 102,642.10/x
  3. Step 3: Cross multiply
    207,618.10x = 311,427.15 × 102,642.10
  4. Step 4: Simplify right side
    207,618.10x = 31,965,536,673.02
  5. Step 5: Solve for x
    x = 31,965,536,673.02/207,618.10
  6. Step 6: Final answer
    x = 153,963.15

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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.