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Finding the Fourth Proportional to 120,172.91, 180,101.68 and 88,434.41

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Solution

The fourth proportional to 120,172.91, 180,101.68 and 88,434.41 is: 132,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.91 : 180,101.68 = 88,434.41 : x
  2. Step 2: Convert to fraction form
    120,172.91/180,101.68 = 88,434.41/x
  3. Step 3: Cross multiply
    120,172.91x = 180,101.68 × 88,434.41
  4. Step 4: Simplify right side
    120,172.91x = 15,927,184,689.21
  5. Step 5: Solve for x
    x = 15,927,184,689.21/120,172.91
  6. Step 6: Final answer
    x = 132,535.57

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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.