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Finding the Fourth Proportional to 257,305.68, 355,081.32 and 144,126

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Solution

The fourth proportional to 257,305.68, 355,081.32 and 144,126 is: 198,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,305.68 : 355,081.32 = 144,126 : x
  2. Step 2: Convert to fraction form
    257,305.68/355,081.32 = 144,126/x
  3. Step 3: Cross multiply
    257,305.68x = 355,081.32 × 144,126
  4. Step 4: Simplify right side
    257,305.68x = 51,176,450,326.32
  5. Step 5: Solve for x
    x = 51,176,450,326.32/257,305.68
  6. Step 6: Final answer
    x = 198,893.59

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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.