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Finding the Fourth Proportional to 76,378, 105,402 and 42,844

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Solution

The fourth proportional to 76,378, 105,402 and 42,844 is: 59,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378 : 105,402 = 42,844 : x
  2. Step 2: Convert to fraction form
    76,378/105,402 = 42,844/x
  3. Step 3: Cross multiply
    76,378x = 105,402 × 42,844
  4. Step 4: Simplify right side
    76,378x = 4,515,843,288
  5. Step 5: Solve for x
    x = 4,515,843,288/76,378
  6. Step 6: Final answer
    x = 59,124.92

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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.