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Finding the Fourth Proportional to 81,774.50, 112,832.26 and 47,776.42

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Solution

The fourth proportional to 81,774.50, 112,832.26 and 47,776.42 is: 65,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774.50 : 112,832.26 = 47,776.42 : x
  2. Step 2: Convert to fraction form
    81,774.50/112,832.26 = 47,776.42/x
  3. Step 3: Cross multiply
    81,774.50x = 112,832.26 × 47,776.42
  4. Step 4: Simplify right side
    81,774.50x = 5,390,721,058.31
  5. Step 5: Solve for x
    x = 5,390,721,058.31/81,774.50
  6. Step 6: Final answer
    x = 65,921.79

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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.