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Finding the Fourth Proportional to 143,864.76, 198,532.74 and 83,447.64

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Solution

The fourth proportional to 143,864.76, 198,532.74 and 83,447.64 is: 115,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,864.76 : 198,532.74 = 83,447.64 : x
  2. Step 2: Convert to fraction form
    143,864.76/198,532.74 = 83,447.64/x
  3. Step 3: Cross multiply
    143,864.76x = 198,532.74 × 83,447.64
  4. Step 4: Simplify right side
    143,864.76x = 16,567,088,615.73
  5. Step 5: Solve for x
    x = 16,567,088,615.73/143,864.76
  6. Step 6: Final answer
    x = 115,157.38

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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.