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Finding the Fourth Proportional to 153,621.56, 230,471.22 and 42,813.56

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Solution

The fourth proportional to 153,621.56, 230,471.22 and 42,813.56 is: 64,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,621.56 : 230,471.22 = 42,813.56 : x
  2. Step 2: Convert to fraction form
    153,621.56/230,471.22 = 42,813.56/x
  3. Step 3: Cross multiply
    153,621.56x = 230,471.22 × 42,813.56
  4. Step 4: Simplify right side
    153,621.56x = 9,867,294,142.47
  5. Step 5: Solve for x
    x = 9,867,294,142.47/153,621.56
  6. Step 6: Final answer
    x = 64,231.18

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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.