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Finding the Fourth Proportional to 120,820, 181,054.80 and 68,117.44

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Solution

The fourth proportional to 120,820, 181,054.80 and 68,117.44 is: 102,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,820 : 181,054.80 = 68,117.44 : x
  2. Step 2: Convert to fraction form
    120,820/181,054.80 = 68,117.44/x
  3. Step 3: Cross multiply
    120,820x = 181,054.80 × 68,117.44
  4. Step 4: Simplify right side
    120,820x = 12,332,989,475.71
  5. Step 5: Solve for x
    x = 12,332,989,475.71/120,820
  6. Step 6: Final answer
    x = 102,077.38

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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.