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Finding the Fourth Proportional to 257,842.24, 355,825.28 and 155,873.28

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Solution

The fourth proportional to 257,842.24, 355,825.28 and 155,873.28 is: 215,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,842.24 : 355,825.28 = 155,873.28 : x
  2. Step 2: Convert to fraction form
    257,842.24/355,825.28 = 155,873.28/x
  3. Step 3: Cross multiply
    257,842.24x = 355,825.28 × 155,873.28
  4. Step 4: Simplify right side
    257,842.24x = 55,463,653,500.52
  5. Step 5: Solve for x
    x = 55,463,653,500.52/257,842.24
  6. Step 6: Final answer
    x = 215,106.93

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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.