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Finding the Fourth Proportional to 57,085.95, 85,619.62 and 19,152

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Solution

The fourth proportional to 57,085.95, 85,619.62 and 19,152 is: 28,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.95 : 85,619.62 = 19,152 : x
  2. Step 2: Convert to fraction form
    57,085.95/85,619.62 = 19,152/x
  3. Step 3: Cross multiply
    57,085.95x = 85,619.62 × 19,152
  4. Step 4: Simplify right side
    57,085.95x = 1,639,786,866.48
  5. Step 5: Solve for x
    x = 1,639,786,866.48/57,085.95
  6. Step 6: Final answer
    x = 28,724.88

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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.