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Finding the Fourth Proportional to 72,871.53, 109,307.32 and 56,255.82

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Solution

The fourth proportional to 72,871.53, 109,307.32 and 56,255.82 is: 84,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,871.53 : 109,307.32 = 56,255.82 : x
  2. Step 2: Convert to fraction form
    72,871.53/109,307.32 = 56,255.82/x
  3. Step 3: Cross multiply
    72,871.53x = 109,307.32 × 56,255.82
  4. Step 4: Simplify right side
    72,871.53x = 6,149,172,918.60
  5. Step 5: Solve for x
    x = 6,149,172,918.60/72,871.53
  6. Step 6: Final answer
    x = 84,383.75

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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.