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Finding the Fourth Proportional to 185,280.44, 255,686.80 and 100,397.50

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Solution

The fourth proportional to 185,280.44, 255,686.80 and 100,397.50 is: 138,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280.44 : 255,686.80 = 100,397.50 : x
  2. Step 2: Convert to fraction form
    185,280.44/255,686.80 = 100,397.50/x
  3. Step 3: Cross multiply
    185,280.44x = 255,686.80 × 100,397.50
  4. Step 4: Simplify right side
    185,280.44x = 25,670,315,503
  5. Step 5: Solve for x
    x = 25,670,315,503/185,280.44
  6. Step 6: Final answer
    x = 138,548.44

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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.