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Finding the Fourth Proportional to 354,458.16, 531,687.24 and 105,138

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Solution

The fourth proportional to 354,458.16, 531,687.24 and 105,138 is: 157,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,458.16 : 531,687.24 = 105,138 : x
  2. Step 2: Convert to fraction form
    354,458.16/531,687.24 = 105,138/x
  3. Step 3: Cross multiply
    354,458.16x = 531,687.24 × 105,138
  4. Step 4: Simplify right side
    354,458.16x = 55,900,533,039.12
  5. Step 5: Solve for x
    x = 55,900,533,039.12/354,458.16
  6. Step 6: Final answer
    x = 157,707.00

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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.