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Finding the Fourth Proportional to 185,314.50, 255,734.93 and 100,431.57

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Solution

The fourth proportional to 185,314.50, 255,734.93 and 100,431.57 is: 138,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,314.50 : 255,734.93 = 100,431.57 : x
  2. Step 2: Convert to fraction form
    185,314.50/255,734.93 = 100,431.57/x
  3. Step 3: Cross multiply
    185,314.50x = 255,734.93 × 100,431.57
  4. Step 4: Simplify right side
    185,314.50x = 25,683,860,523.74
  5. Step 5: Solve for x
    x = 25,683,860,523.74/185,314.50
  6. Step 6: Final answer
    x = 138,596.07

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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.