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Finding the Fourth Proportional to 189,062.16, 283,711.47 and 76,742.34

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Solution

The fourth proportional to 189,062.16, 283,711.47 and 76,742.34 is: 115,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.16 : 283,711.47 = 76,742.34 : x
  2. Step 2: Convert to fraction form
    189,062.16/283,711.47 = 76,742.34/x
  3. Step 3: Cross multiply
    189,062.16x = 283,711.47 × 76,742.34
  4. Step 4: Simplify right side
    189,062.16x = 21,772,682,092.64
  5. Step 5: Solve for x
    x = 21,772,682,092.64/189,062.16
  6. Step 6: Final answer
    x = 115,161.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.