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Finding the Fourth Proportional to 189,074.61, 283,611.93 and 129,730.38

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Solution

The fourth proportional to 189,074.61, 283,611.93 and 129,730.38 is: 194,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,074.61 : 283,611.93 = 129,730.38 : x
  2. Step 2: Convert to fraction form
    189,074.61/283,611.93 = 129,730.38/x
  3. Step 3: Cross multiply
    189,074.61x = 283,611.93 × 129,730.38
  4. Step 4: Simplify right side
    189,074.61x = 36,793,083,451.43
  5. Step 5: Solve for x
    x = 36,793,083,451.43/189,074.61
  6. Step 6: Final answer
    x = 194,595.58

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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.