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Finding the Fourth Proportional to 51,914.40, 77,842.80 and 20,714.40

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Solution

The fourth proportional to 51,914.40, 77,842.80 and 20,714.40 is: 31,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914.40 : 77,842.80 = 20,714.40 : x
  2. Step 2: Convert to fraction form
    51,914.40/77,842.80 = 20,714.40/x
  3. Step 3: Cross multiply
    51,914.40x = 77,842.80 × 20,714.40
  4. Step 4: Simplify right side
    51,914.40x = 1,612,466,896.32
  5. Step 5: Solve for x
    x = 1,612,466,896.32/51,914.40
  6. Step 6: Final answer
    x = 31,060.11

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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.