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Finding the Fourth Proportional to 85,906.32, 128,921.93 and 64,872.38

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Solution

The fourth proportional to 85,906.32, 128,921.93 and 64,872.38 is: 97,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,906.32 : 128,921.93 = 64,872.38 : x
  2. Step 2: Convert to fraction form
    85,906.32/128,921.93 = 64,872.38/x
  3. Step 3: Cross multiply
    85,906.32x = 128,921.93 × 64,872.38
  4. Step 4: Simplify right side
    85,906.32x = 8,363,471,464.32
  5. Step 5: Solve for x
    x = 8,363,471,464.32/85,906.32
  6. Step 6: Final answer
    x = 97,355.72

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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.