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Finding the Fourth Proportional to 84,197.88, 116,142.66 and 61,509.15

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Solution

The fourth proportional to 84,197.88, 116,142.66 and 61,509.15 is: 84,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,197.88 : 116,142.66 = 61,509.15 : x
  2. Step 2: Convert to fraction form
    84,197.88/116,142.66 = 61,509.15/x
  3. Step 3: Cross multiply
    84,197.88x = 116,142.66 × 61,509.15
  4. Step 4: Simplify right side
    84,197.88x = 7,143,836,295.34
  5. Step 5: Solve for x
    x = 7,143,836,295.34/84,197.88
  6. Step 6: Final answer
    x = 84,845.80

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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.