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Finding the Fourth Proportional to 92,471.50, 138,718.23 and 30,142

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Solution

The fourth proportional to 92,471.50, 138,718.23 and 30,142 is: 45,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471.50 : 138,718.23 = 30,142 : x
  2. Step 2: Convert to fraction form
    92,471.50/138,718.23 = 30,142/x
  3. Step 3: Cross multiply
    92,471.50x = 138,718.23 × 30,142
  4. Step 4: Simplify right side
    92,471.50x = 4,181,244,888.66
  5. Step 5: Solve for x
    x = 4,181,244,888.66/92,471.50
  6. Step 6: Final answer
    x = 45,216.58

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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.