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Finding the Fourth Proportional to 120,764.63, 181,146.80 and 45,866.87

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Solution

The fourth proportional to 120,764.63, 181,146.80 and 45,866.87 is: 68,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764.63 : 181,146.80 = 45,866.87 : x
  2. Step 2: Convert to fraction form
    120,764.63/181,146.80 = 45,866.87/x
  3. Step 3: Cross multiply
    120,764.63x = 181,146.80 × 45,866.87
  4. Step 4: Simplify right side
    120,764.63x = 8,308,636,726.52
  5. Step 5: Solve for x
    x = 8,308,636,726.52/120,764.63
  6. Step 6: Final answer
    x = 68,800.25

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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.