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Finding the Fourth Proportional to 144,310.92, 199,092.65 and 83,870.75

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Solution

The fourth proportional to 144,310.92, 199,092.65 and 83,870.75 is: 115,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,310.92 : 199,092.65 = 83,870.75 : x
  2. Step 2: Convert to fraction form
    144,310.92/199,092.65 = 83,870.75/x
  3. Step 3: Cross multiply
    144,310.92x = 199,092.65 × 83,870.75
  4. Step 4: Simplify right side
    144,310.92x = 16,698,048,460.17
  5. Step 5: Solve for x
    x = 16,698,048,460.17/144,310.92
  6. Step 6: Final answer
    x = 115,708.84

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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.