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Finding the Fourth Proportional to 206,881.30, 310,321.95 and 101,905.30

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Solution

The fourth proportional to 206,881.30, 310,321.95 and 101,905.30 is: 152,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881.30 : 310,321.95 = 101,905.30 : x
  2. Step 2: Convert to fraction form
    206,881.30/310,321.95 = 101,905.30/x
  3. Step 3: Cross multiply
    206,881.30x = 310,321.95 × 101,905.30
  4. Step 4: Simplify right side
    206,881.30x = 31,623,451,411.34
  5. Step 5: Solve for x
    x = 31,623,451,411.34/206,881.30
  6. Step 6: Final answer
    x = 152,857.95

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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.