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Finding the Fourth Proportional to 125,917.20, 188,875.80 and 42,811.20

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Solution

The fourth proportional to 125,917.20, 188,875.80 and 42,811.20 is: 64,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,917.20 : 188,875.80 = 42,811.20 : x
  2. Step 2: Convert to fraction form
    125,917.20/188,875.80 = 42,811.20/x
  3. Step 3: Cross multiply
    125,917.20x = 188,875.80 × 42,811.20
  4. Step 4: Simplify right side
    125,917.20x = 8,085,999,648.96
  5. Step 5: Solve for x
    x = 8,085,999,648.96/125,917.20
  6. Step 6: Final answer
    x = 64,216.80

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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.