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Finding the Fourth Proportional to 78,412.40, 117,629.40 and 34,037.90

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Solution

The fourth proportional to 78,412.40, 117,629.40 and 34,037.90 is: 51,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.40 : 117,629.40 = 34,037.90 : x
  2. Step 2: Convert to fraction form
    78,412.40/117,629.40 = 34,037.90/x
  3. Step 3: Cross multiply
    78,412.40x = 117,629.40 × 34,037.90
  4. Step 4: Simplify right side
    78,412.40x = 4,003,857,754.26
  5. Step 5: Solve for x
    x = 4,003,857,754.26/78,412.40
  6. Step 6: Final answer
    x = 51,061.54

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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.