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Finding the Fourth Proportional to 201,368.30, 302,052.45 and 82,978.70

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Solution

The fourth proportional to 201,368.30, 302,052.45 and 82,978.70 is: 124,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,368.30 : 302,052.45 = 82,978.70 : x
  2. Step 2: Convert to fraction form
    201,368.30/302,052.45 = 82,978.70/x
  3. Step 3: Cross multiply
    201,368.30x = 302,052.45 × 82,978.70
  4. Step 4: Simplify right side
    201,368.30x = 25,063,919,632.82
  5. Step 5: Solve for x
    x = 25,063,919,632.82/201,368.30
  6. Step 6: Final answer
    x = 124,468.05

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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.