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Finding the Fourth Proportional to 205,161.68, 307,739.32 and 105,264.22

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Solution

The fourth proportional to 205,161.68, 307,739.32 and 105,264.22 is: 157,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,161.68 : 307,739.32 = 105,264.22 : x
  2. Step 2: Convert to fraction form
    205,161.68/307,739.32 = 105,264.22/x
  3. Step 3: Cross multiply
    205,161.68x = 307,739.32 × 105,264.22
  4. Step 4: Simplify right side
    205,161.68x = 32,393,939,483.13
  5. Step 5: Solve for x
    x = 32,393,939,483.13/205,161.68
  6. Step 6: Final answer
    x = 157,894.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.