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Finding the Fourth Proportional to 147,642.32, 203,743.56 and 80,574.80

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Solution

The fourth proportional to 147,642.32, 203,743.56 and 80,574.80 is: 111,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642.32 : 203,743.56 = 80,574.80 : x
  2. Step 2: Convert to fraction form
    147,642.32/203,743.56 = 80,574.80/x
  3. Step 3: Cross multiply
    147,642.32x = 203,743.56 × 80,574.80
  4. Step 4: Simplify right side
    147,642.32x = 16,416,596,598.29
  5. Step 5: Solve for x
    x = 16,416,596,598.29/147,642.32
  6. Step 6: Final answer
    x = 111,191.67

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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.