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Finding the Fourth Proportional to 77,603, 107,092.14 and 42,275

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Solution

The fourth proportional to 77,603, 107,092.14 and 42,275 is: 58,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,603 : 107,092.14 = 42,275 : x
  2. Step 2: Convert to fraction form
    77,603/107,092.14 = 42,275/x
  3. Step 3: Cross multiply
    77,603x = 107,092.14 × 42,275
  4. Step 4: Simplify right side
    77,603x = 4,527,320,218.50
  5. Step 5: Solve for x
    x = 4,527,320,218.50/77,603
  6. Step 6: Final answer
    x = 58,339.50

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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.