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Finding the Fourth Proportional to 120,685.64, 180,916.35 and 64,564.47

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Solution

The fourth proportional to 120,685.64, 180,916.35 and 64,564.47 is: 96,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,685.64 : 180,916.35 = 64,564.47 : x
  2. Step 2: Convert to fraction form
    120,685.64/180,916.35 = 64,564.47/x
  3. Step 3: Cross multiply
    120,685.64x = 180,916.35 × 64,564.47
  4. Step 4: Simplify right side
    120,685.64x = 11,680,768,252.08
  5. Step 5: Solve for x
    x = 11,680,768,252.08/120,685.64
  6. Step 6: Final answer
    x = 96,786.73

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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.