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Finding the Fourth Proportional to 209,859.31, 314,881.91 and 109,995.76

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Solution

The fourth proportional to 209,859.31, 314,881.91 and 109,995.76 is: 165,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.31 : 314,881.91 = 109,995.76 : x
  2. Step 2: Convert to fraction form
    209,859.31/314,881.91 = 109,995.76/x
  3. Step 3: Cross multiply
    209,859.31x = 314,881.91 × 109,995.76
  4. Step 4: Simplify right side
    209,859.31x = 34,635,675,000.70
  5. Step 5: Solve for x
    x = 34,635,675,000.70/209,859.31
  6. Step 6: Final answer
    x = 165,042.36

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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.