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Finding the Fourth Proportional to 520,025, 780,037.54 and 126,041

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Solution

The fourth proportional to 520,025, 780,037.54 and 126,041 is: 189,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,025 : 780,037.54 = 126,041 : x
  2. Step 2: Convert to fraction form
    520,025/780,037.54 = 126,041/x
  3. Step 3: Cross multiply
    520,025x = 780,037.54 × 126,041
  4. Step 4: Simplify right side
    520,025x = 98,316,711,579.14
  5. Step 5: Solve for x
    x = 98,316,711,579.14/520,025
  6. Step 6: Final answer
    x = 189,061.51

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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.