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Finding the Fourth Proportional to 208,030.80, 312,154.20 and 97,222.80

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Solution

The fourth proportional to 208,030.80, 312,154.20 and 97,222.80 is: 145,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030.80 : 312,154.20 = 97,222.80 : x
  2. Step 2: Convert to fraction form
    208,030.80/312,154.20 = 97,222.80/x
  3. Step 3: Cross multiply
    208,030.80x = 312,154.20 × 97,222.80
  4. Step 4: Simplify right side
    208,030.80x = 30,348,505,355.76
  5. Step 5: Solve for x
    x = 30,348,505,355.76/208,030.80
  6. Step 6: Final answer
    x = 145,884.67

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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.