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Finding the Fourth Proportional to 84,838, 117,076.44 and 55,030

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Solution

The fourth proportional to 84,838, 117,076.44 and 55,030 is: 75,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,838 : 117,076.44 = 55,030 : x
  2. Step 2: Convert to fraction form
    84,838/117,076.44 = 55,030/x
  3. Step 3: Cross multiply
    84,838x = 117,076.44 × 55,030
  4. Step 4: Simplify right side
    84,838x = 6,442,716,493.20
  5. Step 5: Solve for x
    x = 6,442,716,493.20/84,838
  6. Step 6: Final answer
    x = 75,941.40

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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.