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Finding the Fourth Proportional to 75,874.85, 104,714.40 and 56,721.43

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Solution

The fourth proportional to 75,874.85, 104,714.40 and 56,721.43 is: 78,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.85 : 104,714.40 = 56,721.43 : x
  2. Step 2: Convert to fraction form
    75,874.85/104,714.40 = 56,721.43/x
  3. Step 3: Cross multiply
    75,874.85x = 104,714.40 × 56,721.43
  4. Step 4: Simplify right side
    75,874.85x = 5,939,550,509.59
  5. Step 5: Solve for x
    x = 5,939,550,509.59/75,874.85
  6. Step 6: Final answer
    x = 78,280.89

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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.