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Finding the Fourth Proportional to 207,731.78, 311,639.59 and 65,599.26

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Solution

The fourth proportional to 207,731.78, 311,639.59 and 65,599.26 is: 98,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,731.78 : 311,639.59 = 65,599.26 : x
  2. Step 2: Convert to fraction form
    207,731.78/311,639.59 = 65,599.26/x
  3. Step 3: Cross multiply
    207,731.78x = 311,639.59 × 65,599.26
  4. Step 4: Simplify right side
    207,731.78x = 20,443,326,490.70
  5. Step 5: Solve for x
    x = 20,443,326,490.70/207,731.78
  6. Step 6: Final answer
    x = 98,412.13

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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.