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Finding the Fourth Proportional to 120,279.99, 180,420.74 and 31,532.70

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Solution

The fourth proportional to 120,279.99, 180,420.74 and 31,532.70 is: 47,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,279.99 : 180,420.74 = 31,532.70 : x
  2. Step 2: Convert to fraction form
    120,279.99/180,420.74 = 31,532.70/x
  3. Step 3: Cross multiply
    120,279.99x = 180,420.74 × 31,532.70
  4. Step 4: Simplify right side
    120,279.99x = 5,689,153,068.20
  5. Step 5: Solve for x
    x = 5,689,153,068.20/120,279.99
  6. Step 6: Final answer
    x = 47,299.25

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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.