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Finding the Fourth Proportional to 161,703.90, 242,555.85 and 120,231.90

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Solution

The fourth proportional to 161,703.90, 242,555.85 and 120,231.90 is: 180,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,703.90 : 242,555.85 = 120,231.90 : x
  2. Step 2: Convert to fraction form
    161,703.90/242,555.85 = 120,231.90/x
  3. Step 3: Cross multiply
    161,703.90x = 242,555.85 × 120,231.90
  4. Step 4: Simplify right side
    161,703.90x = 29,162,950,701.62
  5. Step 5: Solve for x
    x = 29,162,950,701.62/161,703.90
  6. Step 6: Final answer
    x = 180,347.85

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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.