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Finding the Fourth Proportional to 257,363.68, 355,161.36 and 144,184

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Solution

The fourth proportional to 257,363.68, 355,161.36 and 144,184 is: 198,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,363.68 : 355,161.36 = 144,184 : x
  2. Step 2: Convert to fraction form
    257,363.68/355,161.36 = 144,184/x
  3. Step 3: Cross multiply
    257,363.68x = 355,161.36 × 144,184
  4. Step 4: Simplify right side
    257,363.68x = 51,208,585,530.24
  5. Step 5: Solve for x
    x = 51,208,585,530.24/257,363.68
  6. Step 6: Final answer
    x = 198,973.63

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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.