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Finding the Fourth Proportional to 63,075, 87,044.10 and 34,781.64

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Solution

The fourth proportional to 63,075, 87,044.10 and 34,781.64 is: 47,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,075 : 87,044.10 = 34,781.64 : x
  2. Step 2: Convert to fraction form
    63,075/87,044.10 = 34,781.64/x
  3. Step 3: Cross multiply
    63,075x = 87,044.10 × 34,781.64
  4. Step 4: Simplify right side
    63,075x = 3,027,536,550.32
  5. Step 5: Solve for x
    x = 3,027,536,550.32/63,075
  6. Step 6: Final answer
    x = 47,998.99

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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.