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Finding the Fourth Proportional to 120,787.84, 181,115.34 and 64,693.72

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Solution

The fourth proportional to 120,787.84, 181,115.34 and 64,693.72 is: 97,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787.84 : 181,115.34 = 64,693.72 : x
  2. Step 2: Convert to fraction form
    120,787.84/181,115.34 = 64,693.72/x
  3. Step 3: Cross multiply
    120,787.84x = 181,115.34 × 64,693.72
  4. Step 4: Simplify right side
    120,787.84x = 11,717,025,093.66
  5. Step 5: Solve for x
    x = 11,717,025,093.66/120,787.84
  6. Step 6: Final answer
    x = 97,005.01

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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.