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Finding the Fourth Proportional to 120,802.30, 181,203.45 and 78,811.90

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Solution

The fourth proportional to 120,802.30, 181,203.45 and 78,811.90 is: 118,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.30 : 181,203.45 = 78,811.90 : x
  2. Step 2: Convert to fraction form
    120,802.30/181,203.45 = 78,811.90/x
  3. Step 3: Cross multiply
    120,802.30x = 181,203.45 × 78,811.90
  4. Step 4: Simplify right side
    120,802.30x = 14,280,988,181.06
  5. Step 5: Solve for x
    x = 14,280,988,181.06/120,802.30
  6. Step 6: Final answer
    x = 118,217.85

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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.