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Finding the Fourth Proportional to 185,820.69, 256,538.94 and 122,343

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Solution

The fourth proportional to 185,820.69, 256,538.94 and 122,343 is: 168,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.69 : 256,538.94 = 122,343 : x
  2. Step 2: Convert to fraction form
    185,820.69/256,538.94 = 122,343/x
  3. Step 3: Cross multiply
    185,820.69x = 256,538.94 × 122,343
  4. Step 4: Simplify right side
    185,820.69x = 31,385,743,536.42
  5. Step 5: Solve for x
    x = 31,385,743,536.42/185,820.69
  6. Step 6: Final answer
    x = 168,903.38

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1.5x scale

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.