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Finding the Fourth Proportional to 81,736.32, 112,847.76 and 53,489.76

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Solution

The fourth proportional to 81,736.32, 112,847.76 and 53,489.76 is: 73,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,736.32 : 112,847.76 = 53,489.76 : x
  2. Step 2: Convert to fraction form
    81,736.32/112,847.76 = 53,489.76/x
  3. Step 3: Cross multiply
    81,736.32x = 112,847.76 × 53,489.76
  4. Step 4: Simplify right side
    81,736.32x = 6,036,199,598.94
  5. Step 5: Solve for x
    x = 6,036,199,598.94/81,736.32
  6. Step 6: Final answer
    x = 73,849.66

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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.