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Finding the Fourth Proportional to 56,221.62, 77,582.79 and 31,069.50

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Solution

The fourth proportional to 56,221.62, 77,582.79 and 31,069.50 is: 42,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,221.62 : 77,582.79 = 31,069.50 : x
  2. Step 2: Convert to fraction form
    56,221.62/77,582.79 = 31,069.50/x
  3. Step 3: Cross multiply
    56,221.62x = 77,582.79 × 31,069.50
  4. Step 4: Simplify right side
    56,221.62x = 2,410,458,493.91
  5. Step 5: Solve for x
    x = 2,410,458,493.91/56,221.62
  6. Step 6: Final answer
    x = 42,874.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.