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Finding the Fourth Proportional to 120,648.56, 180,985.16 and 41,762.57

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Solution

The fourth proportional to 120,648.56, 180,985.16 and 41,762.57 is: 62,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,648.56 : 180,985.16 = 41,762.57 : x
  2. Step 2: Convert to fraction form
    120,648.56/180,985.16 = 41,762.57/x
  3. Step 3: Cross multiply
    120,648.56x = 180,985.16 × 41,762.57
  4. Step 4: Simplify right side
    120,648.56x = 7,558,404,299.72
  5. Step 5: Solve for x
    x = 7,558,404,299.72/120,648.56
  6. Step 6: Final answer
    x = 62,648.11

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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.