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Finding the Fourth Proportional to 100,884.83, 151,326.77 and 30,763.91

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Solution

The fourth proportional to 100,884.83, 151,326.77 and 30,763.91 is: 46,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.83 : 151,326.77 = 30,763.91 : x
  2. Step 2: Convert to fraction form
    100,884.83/151,326.77 = 30,763.91/x
  3. Step 3: Cross multiply
    100,884.83x = 151,326.77 × 30,763.91
  4. Step 4: Simplify right side
    100,884.83x = 4,655,402,979.05
  5. Step 5: Solve for x
    x = 4,655,402,979.05/100,884.83
  6. Step 6: Final answer
    x = 46,145.72

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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.