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Finding the Fourth Proportional to 120,551.67, 180,802.80 and 45,645.98

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Solution

The fourth proportional to 120,551.67, 180,802.80 and 45,645.98 is: 68,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551.67 : 180,802.80 = 45,645.98 : x
  2. Step 2: Convert to fraction form
    120,551.67/180,802.80 = 45,645.98/x
  3. Step 3: Cross multiply
    120,551.67x = 180,802.80 × 45,645.98
  4. Step 4: Simplify right side
    120,551.67x = 8,252,920,088.73
  5. Step 5: Solve for x
    x = 8,252,920,088.73/120,551.67
  6. Step 6: Final answer
    x = 68,459.61

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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.