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Finding the Fourth Proportional to 120,677.85, 180,958.32 and 70,774.29

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Solution

The fourth proportional to 120,677.85, 180,958.32 and 70,774.29 is: 106,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,677.85 : 180,958.32 = 70,774.29 : x
  2. Step 2: Convert to fraction form
    120,677.85/180,958.32 = 70,774.29/x
  3. Step 3: Cross multiply
    120,677.85x = 180,958.32 × 70,774.29
  4. Step 4: Simplify right side
    120,677.85x = 12,807,196,617.59
  5. Step 5: Solve for x
    x = 12,807,196,617.59/120,677.85
  6. Step 6: Final answer
    x = 106,127.15

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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.