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Finding the Fourth Proportional to 255,053.20, 382,142.40 and 121,646.20

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Solution

The fourth proportional to 255,053.20, 382,142.40 and 121,646.20 is: 182,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,053.20 : 382,142.40 = 121,646.20 : x
  2. Step 2: Convert to fraction form
    255,053.20/382,142.40 = 121,646.20/x
  3. Step 3: Cross multiply
    255,053.20x = 382,142.40 × 121,646.20
  4. Step 4: Simplify right side
    255,053.20x = 46,486,170,818.88
  5. Step 5: Solve for x
    x = 46,486,170,818.88/255,053.20
  6. Step 6: Final answer
    x = 182,260.68

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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.