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Finding the Fourth Proportional to 210,236.68, 290,124.42 and 114,742.60

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Solution

The fourth proportional to 210,236.68, 290,124.42 and 114,742.60 is: 158,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,236.68 : 290,124.42 = 114,742.60 : x
  2. Step 2: Convert to fraction form
    210,236.68/290,124.42 = 114,742.60/x
  3. Step 3: Cross multiply
    210,236.68x = 290,124.42 × 114,742.60
  4. Step 4: Simplify right side
    210,236.68x = 33,289,630,274.29
  5. Step 5: Solve for x
    x = 33,289,630,274.29/210,236.68
  6. Step 6: Final answer
    x = 158,343.59

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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.