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Finding the Fourth Proportional to 257,506.72, 355,353.12 and 142,784.80

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Solution

The fourth proportional to 257,506.72, 355,353.12 and 142,784.80 is: 197,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,506.72 : 355,353.12 = 142,784.80 : x
  2. Step 2: Convert to fraction form
    257,506.72/355,353.12 = 142,784.80/x
  3. Step 3: Cross multiply
    257,506.72x = 355,353.12 × 142,784.80
  4. Step 4: Simplify right side
    257,506.72x = 50,739,024,168.58
  5. Step 5: Solve for x
    x = 50,739,024,168.58/257,506.72
  6. Step 6: Final answer
    x = 197,039.61

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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.