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Finding the Fourth Proportional to 120,165.88, 180,259.10 and 31,419.24

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Solution

The fourth proportional to 120,165.88, 180,259.10 and 31,419.24 is: 47,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.88 : 180,259.10 = 31,419.24 : x
  2. Step 2: Convert to fraction form
    120,165.88/180,259.10 = 31,419.24/x
  3. Step 3: Cross multiply
    120,165.88x = 180,259.10 × 31,419.24
  4. Step 4: Simplify right side
    120,165.88x = 5,663,603,925.08
  5. Step 5: Solve for x
    x = 5,663,603,925.08/120,165.88
  6. Step 6: Final answer
    x = 47,131.55

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1.5x scale

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.