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Finding the Fourth Proportional to 125,909.10, 188,863.65 and 42,803.10

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Solution

The fourth proportional to 125,909.10, 188,863.65 and 42,803.10 is: 64,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,909.10 : 188,863.65 = 42,803.10 : x
  2. Step 2: Convert to fraction form
    125,909.10/188,863.65 = 42,803.10/x
  3. Step 3: Cross multiply
    125,909.10x = 188,863.65 × 42,803.10
  4. Step 4: Simplify right side
    125,909.10x = 8,083,949,697.32
  5. Step 5: Solve for x
    x = 8,083,949,697.32/125,909.10
  6. Step 6: Final answer
    x = 64,204.65

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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.