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Finding the Fourth Proportional to 100,697.69, 151,036.77 and 30,577.61

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Solution

The fourth proportional to 100,697.69, 151,036.77 and 30,577.61 is: 45,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,697.69 : 151,036.77 = 30,577.61 : x
  2. Step 2: Convert to fraction form
    100,697.69/151,036.77 = 30,577.61/x
  3. Step 3: Cross multiply
    100,697.69x = 151,036.77 × 30,577.61
  4. Step 4: Simplify right side
    100,697.69x = 4,618,343,448.72
  5. Step 5: Solve for x
    x = 4,618,343,448.72/100,697.69
  6. Step 6: Final answer
    x = 45,863.45

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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.