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Finding the Fourth Proportional to 120,417.60, 180,626.40 and 61,368.60

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Solution

The fourth proportional to 120,417.60, 180,626.40 and 61,368.60 is: 92,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.60 : 180,626.40 = 61,368.60 : x
  2. Step 2: Convert to fraction form
    120,417.60/180,626.40 = 61,368.60/x
  3. Step 3: Cross multiply
    120,417.60x = 180,626.40 × 61,368.60
  4. Step 4: Simplify right side
    120,417.60x = 11,084,789,291.04
  5. Step 5: Solve for x
    x = 11,084,789,291.04/120,417.60
  6. Step 6: Final answer
    x = 92,052.90

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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.