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Finding the Fourth Proportional to 129,297.34, 178,409.55 and 72,705.34

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Solution

The fourth proportional to 129,297.34, 178,409.55 and 72,705.34 is: 100,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.34 : 178,409.55 = 72,705.34 : x
  2. Step 2: Convert to fraction form
    129,297.34/178,409.55 = 72,705.34/x
  3. Step 3: Cross multiply
    129,297.34x = 178,409.55 × 72,705.34
  4. Step 4: Simplify right side
    129,297.34x = 12,971,326,992.00
  5. Step 5: Solve for x
    x = 12,971,326,992.00/129,297.34
  6. Step 6: Final answer
    x = 100,321.68

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1.5x scale

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.