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Finding the Fourth Proportional to 120,719.95, 181,111.31 and 45,840.51

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Solution

The fourth proportional to 120,719.95, 181,111.31 and 45,840.51 is: 68,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,719.95 : 181,111.31 = 45,840.51 : x
  2. Step 2: Convert to fraction form
    120,719.95/181,111.31 = 45,840.51/x
  3. Step 3: Cross multiply
    120,719.95x = 181,111.31 × 45,840.51
  4. Step 4: Simplify right side
    120,719.95x = 8,302,234,817.17
  5. Step 5: Solve for x
    x = 8,302,234,817.17/120,719.95
  6. Step 6: Final answer
    x = 68,772.68

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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.