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Finding the Fourth Proportional to 257,500, 355,271.76 and 162,101.92

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Solution

The fourth proportional to 257,500, 355,271.76 and 162,101.92 is: 223,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,500 : 355,271.76 = 162,101.92 : x
  2. Step 2: Convert to fraction form
    257,500/355,271.76 = 162,101.92/x
  3. Step 3: Cross multiply
    257,500x = 355,271.76 × 162,101.92
  4. Step 4: Simplify right side
    257,500x = 57,590,234,417.78
  5. Step 5: Solve for x
    x = 57,590,234,417.78/257,500
  6. Step 6: Final answer
    x = 223,651.40

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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.