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Finding the Fourth Proportional to 100,802.13, 151,212.64 and 29,724.83

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Solution

The fourth proportional to 100,802.13, 151,212.64 and 29,724.83 is: 44,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,802.13 : 151,212.64 = 29,724.83 : x
  2. Step 2: Convert to fraction form
    100,802.13/151,212.64 = 29,724.83/x
  3. Step 3: Cross multiply
    100,802.13x = 151,212.64 × 29,724.83
  4. Step 4: Simplify right side
    100,802.13x = 4,494,770,017.85
  5. Step 5: Solve for x
    x = 4,494,770,017.85/100,802.13
  6. Step 6: Final answer
    x = 44,590.03

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1.5x scale

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.