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Finding the Fourth Proportional to 120,783.60, 181,175.40 and 109,711.91

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Solution

The fourth proportional to 120,783.60, 181,175.40 and 109,711.91 is: 164,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.60 : 181,175.40 = 109,711.91 : x
  2. Step 2: Convert to fraction form
    120,783.60/181,175.40 = 109,711.91/x
  3. Step 3: Cross multiply
    120,783.60x = 181,175.40 × 109,711.91
  4. Step 4: Simplify right side
    120,783.60x = 19,877,099,631.95
  5. Step 5: Solve for x
    x = 19,877,099,631.95/120,783.60
  6. Step 6: Final answer
    x = 164,567.87

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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.