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Finding the Fourth Proportional to 85,898.57, 128,709.35 and 46,474.25

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Solution

The fourth proportional to 85,898.57, 128,709.35 and 46,474.25 is: 69,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898.57 : 128,709.35 = 46,474.25 : x
  2. Step 2: Convert to fraction form
    85,898.57/128,709.35 = 46,474.25/x
  3. Step 3: Cross multiply
    85,898.57x = 128,709.35 × 46,474.25
  4. Step 4: Simplify right side
    85,898.57x = 5,981,670,276.87
  5. Step 5: Solve for x
    x = 5,981,670,276.87/85,898.57
  6. Step 6: Final answer
    x = 69,636.44

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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.