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Finding the Fourth Proportional to 255,053.70, 382,143.15 and 121,646.70

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Solution

The fourth proportional to 255,053.70, 382,143.15 and 121,646.70 is: 182,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,053.70 : 382,143.15 = 121,646.70 : x
  2. Step 2: Convert to fraction form
    255,053.70/382,143.15 = 121,646.70/x
  3. Step 3: Cross multiply
    255,053.70x = 382,143.15 × 121,646.70
  4. Step 4: Simplify right side
    255,053.70x = 46,486,453,125.11
  5. Step 5: Solve for x
    x = 46,486,453,125.11/255,053.70
  6. Step 6: Final answer
    x = 182,261.43

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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.