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Finding the Fourth Proportional to 77,600, 107,088 and 42,272

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Solution

The fourth proportional to 77,600, 107,088 and 42,272 is: 58,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,600 : 107,088 = 42,272 : x
  2. Step 2: Convert to fraction form
    77,600/107,088 = 42,272/x
  3. Step 3: Cross multiply
    77,600x = 107,088 × 42,272
  4. Step 4: Simplify right side
    77,600x = 4,526,823,936
  5. Step 5: Solve for x
    x = 4,526,823,936/77,600
  6. Step 6: Final answer
    x = 58,335.36

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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.