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Finding the Fourth Proportional to 83,378, 115,062.04 and 47,567.64

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Solution

The fourth proportional to 83,378, 115,062.04 and 47,567.64 is: 65,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378 : 115,062.04 = 47,567.64 : x
  2. Step 2: Convert to fraction form
    83,378/115,062.04 = 47,567.64/x
  3. Step 3: Cross multiply
    83,378x = 115,062.04 × 47,567.64
  4. Step 4: Simplify right side
    83,378x = 5,473,229,696.39
  5. Step 5: Solve for x
    x = 5,473,229,696.39/83,378
  6. Step 6: Final answer
    x = 65,643.57

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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.