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Finding the Fourth Proportional to 207,438.71, 311,088.74 and 81,046.17

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Solution

The fourth proportional to 207,438.71, 311,088.74 and 81,046.17 is: 121,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,438.71 : 311,088.74 = 81,046.17 : x
  2. Step 2: Convert to fraction form
    207,438.71/311,088.74 = 81,046.17/x
  3. Step 3: Cross multiply
    207,438.71x = 311,088.74 × 81,046.17
  4. Step 4: Simplify right side
    207,438.71x = 25,212,550,501.89
  5. Step 5: Solve for x
    x = 25,212,550,501.89/207,438.71
  6. Step 6: Final answer
    x = 121,542.17

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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.