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Finding the Fourth Proportional to 147,609.80, 221,447.10 and 72,765.80

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Solution

The fourth proportional to 147,609.80, 221,447.10 and 72,765.80 is: 109,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,609.80 : 221,447.10 = 72,765.80 : x
  2. Step 2: Convert to fraction form
    147,609.80/221,447.10 = 72,765.80/x
  3. Step 3: Cross multiply
    147,609.80x = 221,447.10 × 72,765.80
  4. Step 4: Simplify right side
    147,609.80x = 16,113,775,389.18
  5. Step 5: Solve for x
    x = 16,113,775,389.18/147,609.80
  6. Step 6: Final answer
    x = 109,164.67

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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.