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Finding the Fourth Proportional to 120,339.60, 180,459.72 and 45,447

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Solution

The fourth proportional to 120,339.60, 180,459.72 and 45,447 is: 68,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,339.60 : 180,459.72 = 45,447 : x
  2. Step 2: Convert to fraction form
    120,339.60/180,459.72 = 45,447/x
  3. Step 3: Cross multiply
    120,339.60x = 180,459.72 × 45,447
  4. Step 4: Simplify right side
    120,339.60x = 8,201,352,894.84
  5. Step 5: Solve for x
    x = 8,201,352,894.84/120,339.60
  6. Step 6: Final answer
    x = 68,151.74

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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.