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Finding the Fourth Proportional to 189,813.60, 284,720.40 and 120,002.40

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Solution

The fourth proportional to 189,813.60, 284,720.40 and 120,002.40 is: 180,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,813.60 : 284,720.40 = 120,002.40 : x
  2. Step 2: Convert to fraction form
    189,813.60/284,720.40 = 120,002.40/x
  3. Step 3: Cross multiply
    189,813.60x = 284,720.40 × 120,002.40
  4. Step 4: Simplify right side
    189,813.60x = 34,167,131,328.96
  5. Step 5: Solve for x
    x = 34,167,131,328.96/189,813.60
  6. Step 6: Final answer
    x = 180,003.60

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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.