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Finding the Fourth Proportional to 207,846.71, 311,783.28 and 87,881.25

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Solution

The fourth proportional to 207,846.71, 311,783.28 and 87,881.25 is: 131,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846.71 : 311,783.28 = 87,881.25 : x
  2. Step 2: Convert to fraction form
    207,846.71/311,783.28 = 87,881.25/x
  3. Step 3: Cross multiply
    207,846.71x = 311,783.28 × 87,881.25
  4. Step 4: Simplify right side
    207,846.71x = 27,399,905,215.13
  5. Step 5: Solve for x
    x = 27,399,905,215.13/207,846.71
  6. Step 6: Final answer
    x = 131,827.47

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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.