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Finding the Fourth Proportional to 102,107.64, 153,161.34 and 31,992.42

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Solution

The fourth proportional to 102,107.64, 153,161.34 and 31,992.42 is: 47,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.64 : 153,161.34 = 31,992.42 : x
  2. Step 2: Convert to fraction form
    102,107.64/153,161.34 = 31,992.42/x
  3. Step 3: Cross multiply
    102,107.64x = 153,161.34 × 31,992.42
  4. Step 4: Simplify right side
    102,107.64x = 4,900,001,917.04
  5. Step 5: Solve for x
    x = 4,900,001,917.04/102,107.64
  6. Step 6: Final answer
    x = 47,988.59

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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.