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Finding the Fourth Proportional to 144,171.88, 198,913.71 and 83,730.87

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Solution

The fourth proportional to 144,171.88, 198,913.71 and 83,730.87 is: 115,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,171.88 : 198,913.71 = 83,730.87 : x
  2. Step 2: Convert to fraction form
    144,171.88/198,913.71 = 83,730.87/x
  3. Step 3: Cross multiply
    144,171.88x = 198,913.71 × 83,730.87
  4. Step 4: Simplify right side
    144,171.88x = 16,655,216,998.66
  5. Step 5: Solve for x
    x = 16,655,216,998.66/144,171.88
  6. Step 6: Final answer
    x = 115,523.34

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1.5x scale

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.