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Finding the Fourth Proportional to 83,820.52, 115,720.14 and 55,564.48

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Solution

The fourth proportional to 83,820.52, 115,720.14 and 55,564.48 is: 76,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.52 : 115,720.14 = 55,564.48 : x
  2. Step 2: Convert to fraction form
    83,820.52/115,720.14 = 55,564.48/x
  3. Step 3: Cross multiply
    83,820.52x = 115,720.14 × 55,564.48
  4. Step 4: Simplify right side
    83,820.52x = 6,429,929,404.63
  5. Step 5: Solve for x
    x = 6,429,929,404.63/83,820.52
  6. Step 6: Final answer
    x = 76,710.68

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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.