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Finding the Fourth Proportional to 85,732.98, 128,629.71 and 38,343.66

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Solution

The fourth proportional to 85,732.98, 128,629.71 and 38,343.66 is: 57,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.98 : 128,629.71 = 38,343.66 : x
  2. Step 2: Convert to fraction form
    85,732.98/128,629.71 = 38,343.66/x
  3. Step 3: Cross multiply
    85,732.98x = 128,629.71 × 38,343.66
  4. Step 4: Simplify right side
    85,732.98x = 4,932,133,866.14
  5. Step 5: Solve for x
    x = 4,932,133,866.14/85,732.98
  6. Step 6: Final answer
    x = 57,529.01

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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.