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Finding the Fourth Proportional to 257,842.11, 355,816.53 and 143,114.02

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Solution

The fourth proportional to 257,842.11, 355,816.53 and 143,114.02 is: 197,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,842.11 : 355,816.53 = 143,114.02 : x
  2. Step 2: Convert to fraction form
    257,842.11/355,816.53 = 143,114.02/x
  3. Step 3: Cross multiply
    257,842.11x = 355,816.53 × 143,114.02
  4. Step 4: Simplify right side
    257,842.11x = 50,922,333,990.75
  5. Step 5: Solve for x
    x = 50,922,333,990.75/257,842.11
  6. Step 6: Final answer
    x = 197,494.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.