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Finding the Fourth Proportional to 77,714.64, 116,543.40 and 27,781.20

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Solution

The fourth proportional to 77,714.64, 116,543.40 and 27,781.20 is: 41,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.64 : 116,543.40 = 27,781.20 : x
  2. Step 2: Convert to fraction form
    77,714.64/116,543.40 = 27,781.20/x
  3. Step 3: Cross multiply
    77,714.64x = 116,543.40 × 27,781.20
  4. Step 4: Simplify right side
    77,714.64x = 3,237,715,504.08
  5. Step 5: Solve for x
    x = 3,237,715,504.08/77,714.64
  6. Step 6: Final answer
    x = 41,661.59

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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.