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Finding the Fourth Proportional to 70,884, 106,345.71 and 30,906.48

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Solution

The fourth proportional to 70,884, 106,345.71 and 30,906.48 is: 46,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884 : 106,345.71 = 30,906.48 : x
  2. Step 2: Convert to fraction form
    70,884/106,345.71 = 30,906.48/x
  3. Step 3: Cross multiply
    70,884x = 106,345.71 × 30,906.48
  4. Step 4: Simplify right side
    70,884x = 3,286,771,214.93
  5. Step 5: Solve for x
    x = 3,286,771,214.93/70,884
  6. Step 6: Final answer
    x = 46,368.31

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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.