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Finding the Fourth Proportional to 207,687.85, 311,531.81 and 65,547.50

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Solution

The fourth proportional to 207,687.85, 311,531.81 and 65,547.50 is: 98,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,687.85 : 311,531.81 = 65,547.50 : x
  2. Step 2: Convert to fraction form
    207,687.85/311,531.81 = 65,547.50/x
  3. Step 3: Cross multiply
    207,687.85x = 311,531.81 × 65,547.50
  4. Step 4: Simplify right side
    207,687.85x = 20,420,129,430.58
  5. Step 5: Solve for x
    x = 20,420,129,430.58/207,687.85
  6. Step 6: Final answer
    x = 98,321.25

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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.