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Finding the Fourth Proportional to 206,663.20, 310,188.84 and 101,557.60

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Solution

The fourth proportional to 206,663.20, 310,188.84 and 101,557.60 is: 152,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,663.20 : 310,188.84 = 101,557.60 : x
  2. Step 2: Convert to fraction form
    206,663.20/310,188.84 = 101,557.60/x
  3. Step 3: Cross multiply
    206,663.20x = 310,188.84 × 101,557.60
  4. Step 4: Simplify right side
    206,663.20x = 31,502,034,137.18
  5. Step 5: Solve for x
    x = 31,502,034,137.18/206,663.20
  6. Step 6: Final answer
    x = 152,431.75

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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.