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Finding the Fourth Proportional to 104,802.14, 156,720.38 and 77,835.42

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Solution

The fourth proportional to 104,802.14, 156,720.38 and 77,835.42 is: 116,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,802.14 : 156,720.38 = 77,835.42 : x
  2. Step 2: Convert to fraction form
    104,802.14/156,720.38 = 77,835.42/x
  3. Step 3: Cross multiply
    104,802.14x = 156,720.38 × 77,835.42
  4. Step 4: Simplify right side
    104,802.14x = 12,198,396,210.68
  5. Step 5: Solve for x
    x = 12,198,396,210.68/104,802.14
  6. Step 6: Final answer
    x = 116,394.53

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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.