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Finding the Fourth Proportional to 76,377, 105,400.62 and 42,843

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Solution

The fourth proportional to 76,377, 105,400.62 and 42,843 is: 59,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,377 : 105,400.62 = 42,843 : x
  2. Step 2: Convert to fraction form
    76,377/105,400.62 = 42,843/x
  3. Step 3: Cross multiply
    76,377x = 105,400.62 × 42,843
  4. Step 4: Simplify right side
    76,377x = 4,515,678,762.66
  5. Step 5: Solve for x
    x = 4,515,678,762.66/76,377
  6. Step 6: Final answer
    x = 59,123.54

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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.