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Finding the Fourth Proportional to 206,839.35, 310,038.30 and 117,901.35

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Solution

The fourth proportional to 206,839.35, 310,038.30 and 117,901.35 is: 176,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,839.35 : 310,038.30 = 117,901.35 : x
  2. Step 2: Convert to fraction form
    206,839.35/310,038.30 = 117,901.35/x
  3. Step 3: Cross multiply
    206,839.35x = 310,038.30 × 117,901.35
  4. Step 4: Simplify right side
    206,839.35x = 36,553,934,121.71
  5. Step 5: Solve for x
    x = 36,553,934,121.71/206,839.35
  6. Step 6: Final answer
    x = 176,726.21

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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.