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Finding the Fourth Proportional to 138,874.30, 208,311.45 and 130,126.30

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Solution

The fourth proportional to 138,874.30, 208,311.45 and 130,126.30 is: 195,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.30 : 208,311.45 = 130,126.30 : x
  2. Step 2: Convert to fraction form
    138,874.30/208,311.45 = 130,126.30/x
  3. Step 3: Cross multiply
    138,874.30x = 208,311.45 × 130,126.30
  4. Step 4: Simplify right side
    138,874.30x = 27,106,798,236.14
  5. Step 5: Solve for x
    x = 27,106,798,236.14/138,874.30
  6. Step 6: Final answer
    x = 195,189.45

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1.5x scale

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.