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Finding the Fourth Proportional to 257,849.52, 355,830.72 and 144,672

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Solution

The fourth proportional to 257,849.52, 355,830.72 and 144,672 is: 199,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,849.52 : 355,830.72 = 144,672 : x
  2. Step 2: Convert to fraction form
    257,849.52/355,830.72 = 144,672/x
  3. Step 3: Cross multiply
    257,849.52x = 355,830.72 × 144,672
  4. Step 4: Simplify right side
    257,849.52x = 51,478,741,923.84
  5. Step 5: Solve for x
    x = 51,478,741,923.84/257,849.52
  6. Step 6: Final answer
    x = 199,646.45

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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.