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Finding the Fourth Proportional to 77,378, 106,781.64 and 42,050

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Solution

The fourth proportional to 77,378, 106,781.64 and 42,050 is: 58,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378 : 106,781.64 = 42,050 : x
  2. Step 2: Convert to fraction form
    77,378/106,781.64 = 42,050/x
  3. Step 3: Cross multiply
    77,378x = 106,781.64 × 42,050
  4. Step 4: Simplify right side
    77,378x = 4,490,167,962
  5. Step 5: Solve for x
    x = 4,490,167,962/77,378
  6. Step 6: Final answer
    x = 58,029

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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.