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Finding the Fourth Proportional to 57,364, 85,861.74 and 30,643.18

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Solution

The fourth proportional to 57,364, 85,861.74 and 30,643.18 is: 45,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,364 : 85,861.74 = 30,643.18 : x
  2. Step 2: Convert to fraction form
    57,364/85,861.74 = 30,643.18/x
  3. Step 3: Cross multiply
    57,364x = 85,861.74 × 30,643.18
  4. Step 4: Simplify right side
    57,364x = 2,631,076,753.93
  5. Step 5: Solve for x
    x = 2,631,076,753.93/57,364
  6. Step 6: Final answer
    x = 45,866.34

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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.