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Finding the Fourth Proportional to 77,990.64, 107,714.52 and 52,796.40

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Solution

The fourth proportional to 77,990.64, 107,714.52 and 52,796.40 is: 72,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990.64 : 107,714.52 = 52,796.40 : x
  2. Step 2: Convert to fraction form
    77,990.64/107,714.52 = 52,796.40/x
  3. Step 3: Cross multiply
    77,990.64x = 107,714.52 × 52,796.40
  4. Step 4: Simplify right side
    77,990.64x = 5,686,938,883.73
  5. Step 5: Solve for x
    x = 5,686,938,883.73/77,990.64
  6. Step 6: Final answer
    x = 72,918.22

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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.