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Finding the Fourth Proportional to 57,284.78, 85,916.04 and 28,814.14

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Solution

The fourth proportional to 57,284.78, 85,916.04 and 28,814.14 is: 43,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284.78 : 85,916.04 = 28,814.14 : x
  2. Step 2: Convert to fraction form
    57,284.78/85,916.04 = 28,814.14/x
  3. Step 3: Cross multiply
    57,284.78x = 85,916.04 × 28,814.14
  4. Step 4: Simplify right side
    57,284.78x = 2,475,596,804.81
  5. Step 5: Solve for x
    x = 2,475,596,804.81/57,284.78
  6. Step 6: Final answer
    x = 43,215.61

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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.