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Finding the Fourth Proportional to 144,416.64, 199,214.88 and 83,980.64

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Solution

The fourth proportional to 144,416.64, 199,214.88 and 83,980.64 is: 115,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,416.64 : 199,214.88 = 83,980.64 : x
  2. Step 2: Convert to fraction form
    144,416.64/199,214.88 = 83,980.64/x
  3. Step 3: Cross multiply
    144,416.64x = 199,214.88 × 83,980.64
  4. Step 4: Simplify right side
    144,416.64x = 16,730,193,119.92
  5. Step 5: Solve for x
    x = 16,730,193,119.92/144,416.64
  6. Step 6: Final answer
    x = 115,846.71

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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.