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Finding the Fourth Proportional to 207,642, 311,501.88 and 96,834

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Solution

The fourth proportional to 207,642, 311,501.88 and 96,834 is: 145,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,642 : 311,501.88 = 96,834 : x
  2. Step 2: Convert to fraction form
    207,642/311,501.88 = 96,834/x
  3. Step 3: Cross multiply
    207,642x = 311,501.88 × 96,834
  4. Step 4: Simplify right side
    207,642x = 30,163,973,047.92
  5. Step 5: Solve for x
    x = 30,163,973,047.92/207,642
  6. Step 6: Final answer
    x = 145,269.13

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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.