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Finding the Fourth Proportional to 257,955.96, 355,995.18 and 171,767.16

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Solution

The fourth proportional to 257,955.96, 355,995.18 and 171,767.16 is: 237,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,955.96 : 355,995.18 = 171,767.16 : x
  2. Step 2: Convert to fraction form
    257,955.96/355,995.18 = 171,767.16/x
  3. Step 3: Cross multiply
    257,955.96x = 355,995.18 × 171,767.16
  4. Step 4: Simplify right side
    257,955.96x = 61,148,281,042.29
  5. Step 5: Solve for x
    x = 61,148,281,042.29/257,955.96
  6. Step 6: Final answer
    x = 237,049.31

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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.