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Finding the Fourth Proportional to 140,106.80, 210,221.86 and 73,530.87

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Solution

The fourth proportional to 140,106.80, 210,221.86 and 73,530.87 is: 110,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,106.80 : 210,221.86 = 73,530.87 : x
  2. Step 2: Convert to fraction form
    140,106.80/210,221.86 = 73,530.87/x
  3. Step 3: Cross multiply
    140,106.80x = 210,221.86 × 73,530.87
  4. Step 4: Simplify right side
    140,106.80x = 15,457,796,258.82
  5. Step 5: Solve for x
    x = 15,457,796,258.82/140,106.80
  6. Step 6: Final answer
    x = 110,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.