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Finding the Fourth Proportional to 201,398.50, 302,141.76 and 76,739.50

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Solution

The fourth proportional to 201,398.50, 302,141.76 and 76,739.50 is: 115,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398.50 : 302,141.76 = 76,739.50 : x
  2. Step 2: Convert to fraction form
    201,398.50/302,141.76 = 76,739.50/x
  3. Step 3: Cross multiply
    201,398.50x = 302,141.76 × 76,739.50
  4. Step 4: Simplify right side
    201,398.50x = 23,186,207,591.52
  5. Step 5: Solve for x
    x = 23,186,207,591.52/201,398.50
  6. Step 6: Final answer
    x = 115,126.02

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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.