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Finding the Fourth Proportional to 137,318.70, 206,107.65 and 84,830.70

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Solution

The fourth proportional to 137,318.70, 206,107.65 and 84,830.70 is: 127,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,318.70 : 206,107.65 = 84,830.70 : x
  2. Step 2: Convert to fraction form
    137,318.70/206,107.65 = 84,830.70/x
  3. Step 3: Cross multiply
    137,318.70x = 206,107.65 × 84,830.70
  4. Step 4: Simplify right side
    137,318.70x = 17,484,256,224.86
  5. Step 5: Solve for x
    x = 17,484,256,224.86/137,318.70
  6. Step 6: Final answer
    x = 127,326.11

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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.