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Finding the Fourth Proportional to 120,627.70, 180,941.55 and 83,302.90

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Solution

The fourth proportional to 120,627.70, 180,941.55 and 83,302.90 is: 124,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,627.70 : 180,941.55 = 83,302.90 : x
  2. Step 2: Convert to fraction form
    120,627.70/180,941.55 = 83,302.90/x
  3. Step 3: Cross multiply
    120,627.70x = 180,941.55 × 83,302.90
  4. Step 4: Simplify right side
    120,627.70x = 15,072,955,845.50
  5. Step 5: Solve for x
    x = 15,072,955,845.50/120,627.70
  6. Step 6: Final answer
    x = 124,954.35

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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.