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Finding the Fourth Proportional to 63,102.09, 87,078 and 34,421.07

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Solution

The fourth proportional to 63,102.09, 87,078 and 34,421.07 is: 47,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102.09 : 87,078 = 34,421.07 : x
  2. Step 2: Convert to fraction form
    63,102.09/87,078 = 34,421.07/x
  3. Step 3: Cross multiply
    63,102.09x = 87,078 × 34,421.07
  4. Step 4: Simplify right side
    63,102.09x = 2,997,317,933.46
  5. Step 5: Solve for x
    x = 2,997,317,933.46/63,102.09
  6. Step 6: Final answer
    x = 47,499.50

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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.