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Finding the Fourth Proportional to 257,621.01, 355,491.59 and 142,897.65

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Solution

The fourth proportional to 257,621.01, 355,491.59 and 142,897.65 is: 197,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,621.01 : 355,491.59 = 142,897.65 : x
  2. Step 2: Convert to fraction form
    257,621.01/355,491.59 = 142,897.65/x
  3. Step 3: Cross multiply
    257,621.01x = 355,491.59 × 142,897.65
  4. Step 4: Simplify right side
    257,621.01x = 50,798,912,091.28
  5. Step 5: Solve for x
    x = 50,798,912,091.28/257,621.01
  6. Step 6: Final answer
    x = 197,184.66

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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.