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Finding the Fourth Proportional to 75,684, 104,447.16 and 42,150

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Solution

The fourth proportional to 75,684, 104,447.16 and 42,150 is: 58,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684 : 104,447.16 = 42,150 : x
  2. Step 2: Convert to fraction form
    75,684/104,447.16 = 42,150/x
  3. Step 3: Cross multiply
    75,684x = 104,447.16 × 42,150
  4. Step 4: Simplify right side
    75,684x = 4,402,447,794
  5. Step 5: Solve for x
    x = 4,402,447,794/75,684
  6. Step 6: Final answer
    x = 58,168.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.