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Finding the Fourth Proportional to 120,466.40, 180,699.60 and 89,362.40

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Solution

The fourth proportional to 120,466.40, 180,699.60 and 89,362.40 is: 134,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,466.40 : 180,699.60 = 89,362.40 : x
  2. Step 2: Convert to fraction form
    120,466.40/180,699.60 = 89,362.40/x
  3. Step 3: Cross multiply
    120,466.40x = 180,699.60 × 89,362.40
  4. Step 4: Simplify right side
    120,466.40x = 16,147,749,935.04
  5. Step 5: Solve for x
    x = 16,147,749,935.04/120,466.40
  6. Step 6: Final answer
    x = 134,043.60

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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.