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Finding the Fourth Proportional to 180,472.95, 270,656.87 and 54,108.15

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Solution

The fourth proportional to 180,472.95, 270,656.87 and 54,108.15 is: 81,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,472.95 : 270,656.87 = 54,108.15 : x
  2. Step 2: Convert to fraction form
    180,472.95/270,656.87 = 54,108.15/x
  3. Step 3: Cross multiply
    180,472.95x = 270,656.87 × 54,108.15
  4. Step 4: Simplify right side
    180,472.95x = 14,644,742,249.95
  5. Step 5: Solve for x
    x = 14,644,742,249.95/180,472.95
  6. Step 6: Final answer
    x = 81,146.47

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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.