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Finding the Fourth Proportional to 78,412.78, 117,618.99 and 34,033.78

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Solution

The fourth proportional to 78,412.78, 117,618.99 and 34,033.78 is: 51,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.78 : 117,618.99 = 34,033.78 : x
  2. Step 2: Convert to fraction form
    78,412.78/117,618.99 = 34,033.78/x
  3. Step 3: Cross multiply
    78,412.78x = 117,618.99 × 34,033.78
  4. Step 4: Simplify right side
    78,412.78x = 4,003,018,829.48
  5. Step 5: Solve for x
    x = 4,003,018,829.48/78,412.78
  6. Step 6: Final answer
    x = 51,050.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.