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Finding the Fourth Proportional to 207,768, 311,541.12 and 107,827.59

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Solution

The fourth proportional to 207,768, 311,541.12 and 107,827.59 is: 161,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,768 : 311,541.12 = 107,827.59 : x
  2. Step 2: Convert to fraction form
    207,768/311,541.12 = 107,827.59/x
  3. Step 3: Cross multiply
    207,768x = 311,541.12 × 107,827.59
  4. Step 4: Simplify right side
    207,768x = 33,592,728,155.50
  5. Step 5: Solve for x
    x = 33,592,728,155.50/207,768
  6. Step 6: Final answer
    x = 161,683.84

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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.