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Finding the Fourth Proportional to 78,021.70, 107,669.96 and 42,211.69

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Solution

The fourth proportional to 78,021.70, 107,669.96 and 42,211.69 is: 58,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021.70 : 107,669.96 = 42,211.69 : x
  2. Step 2: Convert to fraction form
    78,021.70/107,669.96 = 42,211.69/x
  3. Step 3: Cross multiply
    78,021.70x = 107,669.96 × 42,211.69
  4. Step 4: Simplify right side
    78,021.70x = 4,544,930,973.83
  5. Step 5: Solve for x
    x = 4,544,930,973.83/78,021.70
  6. Step 6: Final answer
    x = 58,252.14

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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.