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Finding the Fourth Proportional to 67,509, 101,194.38 and 28,089

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Solution

The fourth proportional to 67,509, 101,194.38 and 28,089 is: 42,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,509 : 101,194.38 = 28,089 : x
  2. Step 2: Convert to fraction form
    67,509/101,194.38 = 28,089/x
  3. Step 3: Cross multiply
    67,509x = 101,194.38 × 28,089
  4. Step 4: Simplify right side
    67,509x = 2,842,448,939.82
  5. Step 5: Solve for x
    x = 2,842,448,939.82/67,509
  6. Step 6: Final answer
    x = 42,104.74

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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.