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Finding the Fourth Proportional to 83,381.40, 115,055.64 and 47,569.32

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Solution

The fourth proportional to 83,381.40, 115,055.64 and 47,569.32 is: 65,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,381.40 : 115,055.64 = 47,569.32 : x
  2. Step 2: Convert to fraction form
    83,381.40/115,055.64 = 47,569.32/x
  3. Step 3: Cross multiply
    83,381.40x = 115,055.64 × 47,569.32
  4. Step 4: Simplify right side
    83,381.40x = 5,473,118,556.96
  5. Step 5: Solve for x
    x = 5,473,118,556.96/83,381.40
  6. Step 6: Final answer
    x = 65,639.56

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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.