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Finding the Fourth Proportional to 120,765.91, 181,148.87 and 45,868.34

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Solution

The fourth proportional to 120,765.91, 181,148.87 and 45,868.34 is: 68,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765.91 : 181,148.87 = 45,868.34 : x
  2. Step 2: Convert to fraction form
    120,765.91/181,148.87 = 45,868.34/x
  3. Step 3: Cross multiply
    120,765.91x = 181,148.87 × 45,868.34
  4. Step 4: Simplify right side
    120,765.91x = 8,308,997,569.59
  5. Step 5: Solve for x
    x = 8,308,997,569.59/120,765.91
  6. Step 6: Final answer
    x = 68,802.51

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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.