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Finding the Fourth Proportional to 120,464.64, 180,904.32 and 65,099.52

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Solution

The fourth proportional to 120,464.64, 180,904.32 and 65,099.52 is: 97,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464.64 : 180,904.32 = 65,099.52 : x
  2. Step 2: Convert to fraction form
    120,464.64/180,904.32 = 65,099.52/x
  3. Step 3: Cross multiply
    120,464.64x = 180,904.32 × 65,099.52
  4. Step 4: Simplify right side
    120,464.64x = 11,776,784,397.93
  5. Step 5: Solve for x
    x = 11,776,784,397.93/120,464.64
  6. Step 6: Final answer
    x = 97,761.34

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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.