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Finding the Fourth Proportional to 210,781.82, 316,297.48 and 77,755.58

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Solution

The fourth proportional to 210,781.82, 316,297.48 and 77,755.58 is: 116,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,781.82 : 316,297.48 = 77,755.58 : x
  2. Step 2: Convert to fraction form
    210,781.82/316,297.48 = 77,755.58/x
  3. Step 3: Cross multiply
    210,781.82x = 316,297.48 × 77,755.58
  4. Step 4: Simplify right side
    210,781.82x = 24,593,894,009.94
  5. Step 5: Solve for x
    x = 24,593,894,009.94/210,781.82
  6. Step 6: Final answer
    x = 116,679.39

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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.