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Finding the Fourth Proportional to 129,074.48, 178,051.06 and 119,941.12

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Solution

The fourth proportional to 129,074.48, 178,051.06 and 119,941.12 is: 165,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,074.48 : 178,051.06 = 119,941.12 : x
  2. Step 2: Convert to fraction form
    129,074.48/178,051.06 = 119,941.12/x
  3. Step 3: Cross multiply
    129,074.48x = 178,051.06 × 119,941.12
  4. Step 4: Simplify right side
    129,074.48x = 21,355,643,553.59
  5. Step 5: Solve for x
    x = 21,355,643,553.59/129,074.48
  6. Step 6: Final answer
    x = 165,452.10

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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.