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Finding the Fourth Proportional to 189,420.80, 284,260.80 and 105,180.80

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Solution

The fourth proportional to 189,420.80, 284,260.80 and 105,180.80 is: 157,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,420.80 : 284,260.80 = 105,180.80 : x
  2. Step 2: Convert to fraction form
    189,420.80/284,260.80 = 105,180.80/x
  3. Step 3: Cross multiply
    189,420.80x = 284,260.80 × 105,180.80
  4. Step 4: Simplify right side
    189,420.80x = 29,898,778,352.64
  5. Step 5: Solve for x
    x = 29,898,778,352.64/189,420.80
  6. Step 6: Final answer
    x = 157,843.16

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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.