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Finding the Fourth Proportional to 85,353.14, 128,046.12 and 32,758.53

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Solution

The fourth proportional to 85,353.14, 128,046.12 and 32,758.53 is: 49,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,353.14 : 128,046.12 = 32,758.53 : x
  2. Step 2: Convert to fraction form
    85,353.14/128,046.12 = 32,758.53/x
  3. Step 3: Cross multiply
    85,353.14x = 128,046.12 × 32,758.53
  4. Step 4: Simplify right side
    85,353.14x = 4,194,602,060.39
  5. Step 5: Solve for x
    x = 4,194,602,060.39/85,353.14
  6. Step 6: Final answer
    x = 49,144.08

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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.