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Finding the Fourth Proportional to 153,678, 212,079.39 and 85,694.31

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Solution

The fourth proportional to 153,678, 212,079.39 and 85,694.31 is: 118,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,678 : 212,079.39 = 85,694.31 : x
  2. Step 2: Convert to fraction form
    153,678/212,079.39 = 85,694.31/x
  3. Step 3: Cross multiply
    153,678x = 212,079.39 × 85,694.31
  4. Step 4: Simplify right side
    153,678x = 18,173,996,991.27
  5. Step 5: Solve for x
    x = 18,173,996,991.27/153,678
  6. Step 6: Final answer
    x = 118,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.