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Finding the Fourth Proportional to 76,710.62, 115,058.64 and 26,781.42

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Solution

The fourth proportional to 76,710.62, 115,058.64 and 26,781.42 is: 40,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.62 : 115,058.64 = 26,781.42 : x
  2. Step 2: Convert to fraction form
    76,710.62/115,058.64 = 26,781.42/x
  3. Step 3: Cross multiply
    76,710.62x = 115,058.64 × 26,781.42
  4. Step 4: Simplify right side
    76,710.62x = 3,081,433,762.47
  5. Step 5: Solve for x
    x = 3,081,433,762.47/76,710.62
  6. Step 6: Final answer
    x = 40,169.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.