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Finding the Fourth Proportional to 81,756.68, 112,784.82 and 71,129.48

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Solution

The fourth proportional to 81,756.68, 112,784.82 and 71,129.48 is: 98,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756.68 : 112,784.82 = 71,129.48 : x
  2. Step 2: Convert to fraction form
    81,756.68/112,784.82 = 71,129.48/x
  3. Step 3: Cross multiply
    81,756.68x = 112,784.82 × 71,129.48
  4. Step 4: Simplify right side
    81,756.68x = 8,022,325,598.49
  5. Step 5: Solve for x
    x = 8,022,325,598.49/81,756.68
  6. Step 6: Final answer
    x = 98,124.41

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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.