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Finding the Fourth Proportional to 100,999.70, 151,403.55 and 37,802.90

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Solution

The fourth proportional to 100,999.70, 151,403.55 and 37,802.90 is: 56,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999.70 : 151,403.55 = 37,802.90 : x
  2. Step 2: Convert to fraction form
    100,999.70/151,403.55 = 37,802.90/x
  3. Step 3: Cross multiply
    100,999.70x = 151,403.55 × 37,802.90
  4. Step 4: Simplify right side
    100,999.70x = 5,723,493,260.30
  5. Step 5: Solve for x
    x = 5,723,493,260.30/100,999.70
  6. Step 6: Final answer
    x = 56,668.42

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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.