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Finding the Fourth Proportional to 166,255, 229,431.90 and 90,803.68

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Solution

The fourth proportional to 166,255, 229,431.90 and 90,803.68 is: 125,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,255 : 229,431.90 = 90,803.68 : x
  2. Step 2: Convert to fraction form
    166,255/229,431.90 = 90,803.68/x
  3. Step 3: Cross multiply
    166,255x = 229,431.90 × 90,803.68
  4. Step 4: Simplify right side
    166,255x = 20,833,260,829.39
  5. Step 5: Solve for x
    x = 20,833,260,829.39/166,255
  6. Step 6: Final answer
    x = 125,309.08

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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.