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Finding the Fourth Proportional to 57,077.84, 78,767.68 and 31,927.36

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Solution

The fourth proportional to 57,077.84, 78,767.68 and 31,927.36 is: 44,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.84 : 78,767.68 = 31,927.36 : x
  2. Step 2: Convert to fraction form
    57,077.84/78,767.68 = 31,927.36/x
  3. Step 3: Cross multiply
    57,077.84x = 78,767.68 × 31,927.36
  4. Step 4: Simplify right side
    57,077.84x = 2,514,844,075.72
  5. Step 5: Solve for x
    x = 2,514,844,075.72/57,077.84
  6. Step 6: Final answer
    x = 44,059.90

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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.