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Finding the Fourth Proportional to 180,408.82, 270,637.14 and 66,541.30

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Solution

The fourth proportional to 180,408.82, 270,637.14 and 66,541.30 is: 99,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,408.82 : 270,637.14 = 66,541.30 : x
  2. Step 2: Convert to fraction form
    180,408.82/270,637.14 = 66,541.30/x
  3. Step 3: Cross multiply
    180,408.82x = 270,637.14 × 66,541.30
  4. Step 4: Simplify right side
    180,408.82x = 18,008,547,123.88
  5. Step 5: Solve for x
    x = 18,008,547,123.88/180,408.82
  6. Step 6: Final answer
    x = 99,820.77

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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.