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Finding the Fourth Proportional to 145,143.88, 200,284.86 and 81,469.24

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Solution

The fourth proportional to 145,143.88, 200,284.86 and 81,469.24 is: 112,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143.88 : 200,284.86 = 81,469.24 : x
  2. Step 2: Convert to fraction form
    145,143.88/200,284.86 = 81,469.24/x
  3. Step 3: Cross multiply
    145,143.88x = 200,284.86 × 81,469.24
  4. Step 4: Simplify right side
    145,143.88x = 16,317,055,327.71
  5. Step 5: Solve for x
    x = 16,317,055,327.71/145,143.88
  6. Step 6: Final answer
    x = 112,419.86

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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.