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Finding the Fourth Proportional to 257,225.69, 354,971.31 and 142,511.75

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Solution

The fourth proportional to 257,225.69, 354,971.31 and 142,511.75 is: 196,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.69 : 354,971.31 = 142,511.75 : x
  2. Step 2: Convert to fraction form
    257,225.69/354,971.31 = 142,511.75/x
  3. Step 3: Cross multiply
    257,225.69x = 354,971.31 × 142,511.75
  4. Step 4: Simplify right side
    257,225.69x = 50,587,580,813.04
  5. Step 5: Solve for x
    x = 50,587,580,813.04/257,225.69
  6. Step 6: Final answer
    x = 196,666.13

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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.