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Finding the Fourth Proportional to 206,859.35, 310,068.30 and 117,921.35

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Solution

The fourth proportional to 206,859.35, 310,068.30 and 117,921.35 is: 176,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.35 : 310,068.30 = 117,921.35 : x
  2. Step 2: Convert to fraction form
    206,859.35/310,068.30 = 117,921.35/x
  3. Step 3: Cross multiply
    206,859.35x = 310,068.30 × 117,921.35
  4. Step 4: Simplify right side
    206,859.35x = 36,563,672,528.21
  5. Step 5: Solve for x
    x = 36,563,672,528.21/206,859.35
  6. Step 6: Final answer
    x = 176,756.20

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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.