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Finding the Fourth Proportional to 208,666.20, 312,999.30 and 125,722.20

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Solution

The fourth proportional to 208,666.20, 312,999.30 and 125,722.20 is: 188,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.20 : 312,999.30 = 125,722.20 : x
  2. Step 2: Convert to fraction form
    208,666.20/312,999.30 = 125,722.20/x
  3. Step 3: Cross multiply
    208,666.20x = 312,999.30 × 125,722.20
  4. Step 4: Simplify right side
    208,666.20x = 39,350,960,594.46
  5. Step 5: Solve for x
    x = 39,350,960,594.46/208,666.20
  6. Step 6: Final answer
    x = 188,583.30

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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.