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Finding the Fourth Proportional to 257,301.07, 355,070.16 and 142,578.72

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Solution

The fourth proportional to 257,301.07, 355,070.16 and 142,578.72 is: 196,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,301.07 : 355,070.16 = 142,578.72 : x
  2. Step 2: Convert to fraction form
    257,301.07/355,070.16 = 142,578.72/x
  3. Step 3: Cross multiply
    257,301.07x = 355,070.16 × 142,578.72
  4. Step 4: Simplify right side
    257,301.07x = 50,625,448,923.00
  5. Step 5: Solve for x
    x = 50,625,448,923.00/257,301.07
  6. Step 6: Final answer
    x = 196,755.69

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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.