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Finding the Fourth Proportional to 75,478.87, 104,051.06 and 52,747.29

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Solution

The fourth proportional to 75,478.87, 104,051.06 and 52,747.29 is: 72,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.87 : 104,051.06 = 52,747.29 : x
  2. Step 2: Convert to fraction form
    75,478.87/104,051.06 = 52,747.29/x
  3. Step 3: Cross multiply
    75,478.87x = 104,051.06 × 52,747.29
  4. Step 4: Simplify right side
    75,478.87x = 5,488,411,436.63
  5. Step 5: Solve for x
    x = 5,488,411,436.63/75,478.87
  6. Step 6: Final answer
    x = 72,714.54

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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.