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Finding the Fourth Proportional to 129,396.96, 178,568.48 and 72,809.28

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Solution

The fourth proportional to 129,396.96, 178,568.48 and 72,809.28 is: 100,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396.96 : 178,568.48 = 72,809.28 : x
  2. Step 2: Convert to fraction form
    129,396.96/178,568.48 = 72,809.28/x
  3. Step 3: Cross multiply
    129,396.96x = 178,568.48 × 72,809.28
  4. Step 4: Simplify right side
    129,396.96x = 13,001,442,459.49
  5. Step 5: Solve for x
    x = 13,001,442,459.49/129,396.96
  6. Step 6: Final answer
    x = 100,477.19

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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.