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Finding the Fourth Proportional to 103,128.68, 154,693.14 and 28,249.47

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Solution

The fourth proportional to 103,128.68, 154,693.14 and 28,249.47 is: 42,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,128.68 : 154,693.14 = 28,249.47 : x
  2. Step 2: Convert to fraction form
    103,128.68/154,693.14 = 28,249.47/x
  3. Step 3: Cross multiply
    103,128.68x = 154,693.14 × 28,249.47
  4. Step 4: Simplify right side
    103,128.68x = 4,369,998,406.33
  5. Step 5: Solve for x
    x = 4,369,998,406.33/103,128.68
  6. Step 6: Final answer
    x = 42,374.23

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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.