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Finding the Fourth Proportional to 101,015.23, 151,654.07 and 77,658.07

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Solution

The fourth proportional to 101,015.23, 151,654.07 and 77,658.07 is: 116,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,015.23 : 151,654.07 = 77,658.07 : x
  2. Step 2: Convert to fraction form
    101,015.23/151,654.07 = 77,658.07/x
  3. Step 3: Cross multiply
    101,015.23x = 151,654.07 × 77,658.07
  4. Step 4: Simplify right side
    101,015.23x = 11,777,162,383.84
  5. Step 5: Solve for x
    x = 11,777,162,383.84/101,015.23
  6. Step 6: Final answer
    x = 116,587.99

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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.