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Finding the Fourth Proportional to 71,368.47, 107,117.64 and 31,918.23

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Solution

The fourth proportional to 71,368.47, 107,117.64 and 31,918.23 is: 47,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.47 : 107,117.64 = 31,918.23 : x
  2. Step 2: Convert to fraction form
    71,368.47/107,117.64 = 31,918.23/x
  3. Step 3: Cross multiply
    71,368.47x = 107,117.64 × 31,918.23
  4. Step 4: Simplify right side
    71,368.47x = 3,419,005,470.58
  5. Step 5: Solve for x
    x = 3,419,005,470.58/71,368.47
  6. Step 6: Final answer
    x = 47,906.39

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1.5x scale

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.