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Finding the Fourth Proportional to 154,189.60, 231,285.12 and 65,420.80

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Solution

The fourth proportional to 154,189.60, 231,285.12 and 65,420.80 is: 98,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189.60 : 231,285.12 = 65,420.80 : x
  2. Step 2: Convert to fraction form
    154,189.60/231,285.12 = 65,420.80/x
  3. Step 3: Cross multiply
    154,189.60x = 231,285.12 × 65,420.80
  4. Step 4: Simplify right side
    154,189.60x = 15,130,857,578.50
  5. Step 5: Solve for x
    x = 15,130,857,578.50/154,189.60
  6. Step 6: Final answer
    x = 98,131.51

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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.