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Finding the Fourth Proportional to 77,682.72, 107,160.12 and 64,174.08

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Solution

The fourth proportional to 77,682.72, 107,160.12 and 64,174.08 is: 88,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682.72 : 107,160.12 = 64,174.08 : x
  2. Step 2: Convert to fraction form
    77,682.72/107,160.12 = 64,174.08/x
  3. Step 3: Cross multiply
    77,682.72x = 107,160.12 × 64,174.08
  4. Step 4: Simplify right side
    77,682.72x = 6,876,902,113.69
  5. Step 5: Solve for x
    x = 6,876,902,113.69/77,682.72
  6. Step 6: Final answer
    x = 88,525.51

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1.5x scale

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.