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Finding the Fourth Proportional to 128,313.15, 192,189.24 and 65,024.64

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Solution

The fourth proportional to 128,313.15, 192,189.24 and 65,024.64 is: 97,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,313.15 : 192,189.24 = 65,024.64 : x
  2. Step 2: Convert to fraction form
    128,313.15/192,189.24 = 65,024.64/x
  3. Step 3: Cross multiply
    128,313.15x = 192,189.24 × 65,024.64
  4. Step 4: Simplify right side
    128,313.15x = 12,497,036,142.87
  5. Step 5: Solve for x
    x = 12,497,036,142.87/128,313.15
  6. Step 6: Final answer
    x = 97,394.82

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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.