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Finding the Fourth Proportional to 257,851.62, 355,829.61 and 143,123.52

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Solution

The fourth proportional to 257,851.62, 355,829.61 and 143,123.52 is: 197,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,851.62 : 355,829.61 = 143,123.52 : x
  2. Step 2: Convert to fraction form
    257,851.62/355,829.61 = 143,123.52/x
  3. Step 3: Cross multiply
    257,851.62x = 355,829.61 × 143,123.52
  4. Step 4: Simplify right side
    257,851.62x = 50,927,586,303.43
  5. Step 5: Solve for x
    x = 50,927,586,303.43/257,851.62
  6. Step 6: Final answer
    x = 197,507.34

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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.