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Finding the Fourth Proportional to 130,796.64, 180,493.92 and 74,211.12

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Solution

The fourth proportional to 130,796.64, 180,493.92 and 74,211.12 is: 102,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,796.64 : 180,493.92 = 74,211.12 : x
  2. Step 2: Convert to fraction form
    130,796.64/180,493.92 = 74,211.12/x
  3. Step 3: Cross multiply
    130,796.64x = 180,493.92 × 74,211.12
  4. Step 4: Simplify right side
    130,796.64x = 13,394,655,956.39
  5. Step 5: Solve for x
    x = 13,394,655,956.39/130,796.64
  6. Step 6: Final answer
    x = 102,408.26

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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.