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Finding the Fourth Proportional to 120,913.12, 181,216.48 and 68,352.48

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Solution

The fourth proportional to 120,913.12, 181,216.48 and 68,352.48 is: 102,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,913.12 : 181,216.48 = 68,352.48 : x
  2. Step 2: Convert to fraction form
    120,913.12/181,216.48 = 68,352.48/x
  3. Step 3: Cross multiply
    120,913.12x = 181,216.48 × 68,352.48
  4. Step 4: Simplify right side
    120,913.12x = 12,386,595,824.87
  5. Step 5: Solve for x
    x = 12,386,595,824.87/120,913.12
  6. Step 6: Final answer
    x = 102,442.12

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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.