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Finding the Fourth Proportional to 85,827.52, 128,709.69 and 29,653.21

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Solution

The fourth proportional to 85,827.52, 128,709.69 and 29,653.21 is: 44,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,827.52 : 128,709.69 = 29,653.21 : x
  2. Step 2: Convert to fraction form
    85,827.52/128,709.69 = 29,653.21/x
  3. Step 3: Cross multiply
    85,827.52x = 128,709.69 × 29,653.21
  4. Step 4: Simplify right side
    85,827.52x = 3,816,655,466.60
  5. Step 5: Solve for x
    x = 3,816,655,466.60/85,827.52
  6. Step 6: Final answer
    x = 44,468.90

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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.