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Finding the Fourth Proportional to 180,018, 248,424.96 and 100,530

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Solution

The fourth proportional to 180,018, 248,424.96 and 100,530 is: 138,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,018 : 248,424.96 = 100,530 : x
  2. Step 2: Convert to fraction form
    180,018/248,424.96 = 100,530/x
  3. Step 3: Cross multiply
    180,018x = 248,424.96 × 100,530
  4. Step 4: Simplify right side
    180,018x = 24,974,161,228.80
  5. Step 5: Solve for x
    x = 24,974,161,228.80/180,018
  6. Step 6: Final answer
    x = 138,731.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.