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Finding the Fourth Proportional to 120,763.63, 181,145.30 and 45,865.87

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Solution

The fourth proportional to 120,763.63, 181,145.30 and 45,865.87 is: 68,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,763.63 : 181,145.30 = 45,865.87 : x
  2. Step 2: Convert to fraction form
    120,763.63/181,145.30 = 45,865.87/x
  3. Step 3: Cross multiply
    120,763.63x = 181,145.30 × 45,865.87
  4. Step 4: Simplify right side
    120,763.63x = 8,308,386,801.69
  5. Step 5: Solve for x
    x = 8,308,386,801.69/120,763.63
  6. Step 6: Final answer
    x = 68,798.75

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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.