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Finding the Fourth Proportional to 120,652.50, 180,953.67 and 45,746.82

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Solution

The fourth proportional to 120,652.50, 180,953.67 and 45,746.82 is: 68,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652.50 : 180,953.67 = 45,746.82 : x
  2. Step 2: Convert to fraction form
    120,652.50/180,953.67 = 45,746.82/x
  3. Step 3: Cross multiply
    120,652.50x = 180,953.67 × 45,746.82
  4. Step 4: Simplify right side
    120,652.50x = 8,278,054,969.83
  5. Step 5: Solve for x
    x = 8,278,054,969.83/120,652.50
  6. Step 6: Final answer
    x = 68,610.72

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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.