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Finding the Fourth Proportional to 120,280.50, 180,421.50 and 31,533.21

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Solution

The fourth proportional to 120,280.50, 180,421.50 and 31,533.21 is: 47,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,280.50 : 180,421.50 = 31,533.21 : x
  2. Step 2: Convert to fraction form
    120,280.50/180,421.50 = 31,533.21/x
  3. Step 3: Cross multiply
    120,280.50x = 180,421.50 × 31,533.21
  4. Step 4: Simplify right side
    120,280.50x = 5,689,269,048.02
  5. Step 5: Solve for x
    x = 5,689,269,048.02/120,280.50
  6. Step 6: Final answer
    x = 47,300.01

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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.