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Finding the Fourth Proportional to 78,786.98, 118,201.53 and 34,417.34

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Solution

The fourth proportional to 78,786.98, 118,201.53 and 34,417.34 is: 51,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786.98 : 118,201.53 = 34,417.34 : x
  2. Step 2: Convert to fraction form
    78,786.98/118,201.53 = 34,417.34/x
  3. Step 3: Cross multiply
    78,786.98x = 118,201.53 × 34,417.34
  4. Step 4: Simplify right side
    78,786.98x = 4,068,182,246.53
  5. Step 5: Solve for x
    x = 4,068,182,246.53/78,786.98
  6. Step 6: Final answer
    x = 51,635.21

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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.