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Finding the Fourth Proportional to 62,978, 86,909.64 and 34,683.64

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Solution

The fourth proportional to 62,978, 86,909.64 and 34,683.64 is: 47,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,978 : 86,909.64 = 34,683.64 : x
  2. Step 2: Convert to fraction form
    62,978/86,909.64 = 34,683.64/x
  3. Step 3: Cross multiply
    62,978x = 86,909.64 × 34,683.64
  4. Step 4: Simplify right side
    62,978x = 3,014,342,666.29
  5. Step 5: Solve for x
    x = 3,014,342,666.29/62,978
  6. Step 6: Final answer
    x = 47,863.42

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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.