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Finding the Fourth Proportional to 185,817.69, 256,534.80 and 122,340

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Solution

The fourth proportional to 185,817.69, 256,534.80 and 122,340 is: 168,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,817.69 : 256,534.80 = 122,340 : x
  2. Step 2: Convert to fraction form
    185,817.69/256,534.80 = 122,340/x
  3. Step 3: Cross multiply
    185,817.69x = 256,534.80 × 122,340
  4. Step 4: Simplify right side
    185,817.69x = 31,384,467,432
  5. Step 5: Solve for x
    x = 31,384,467,432/185,817.69
  6. Step 6: Final answer
    x = 168,899.24

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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.