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Finding the Fourth Proportional to 109,978, 151,768.02 and 64,661.08

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Solution

The fourth proportional to 109,978, 151,768.02 and 64,661.08 is: 89,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978 : 151,768.02 = 64,661.08 : x
  2. Step 2: Convert to fraction form
    109,978/151,768.02 = 64,661.08/x
  3. Step 3: Cross multiply
    109,978x = 151,768.02 × 64,661.08
  4. Step 4: Simplify right side
    109,978x = 9,813,484,082.66
  5. Step 5: Solve for x
    x = 9,813,484,082.66/109,978
  6. Step 6: Final answer
    x = 89,231.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.