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Finding the Fourth Proportional to 189,005.68, 283,508.52 and 129,661.48

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Solution

The fourth proportional to 189,005.68, 283,508.52 and 129,661.48 is: 194,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,005.68 : 283,508.52 = 129,661.48 : x
  2. Step 2: Convert to fraction form
    189,005.68/283,508.52 = 129,661.48/x
  3. Step 3: Cross multiply
    189,005.68x = 283,508.52 × 129,661.48
  4. Step 4: Simplify right side
    189,005.68x = 36,760,134,295.81
  5. Step 5: Solve for x
    x = 36,760,134,295.81/189,005.68
  6. Step 6: Final answer
    x = 194,492.22

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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.