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Finding the Fourth Proportional to 99,233.60, 148,677.60 and 85,409.60

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Solution

The fourth proportional to 99,233.60, 148,677.60 and 85,409.60 is: 127,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,233.60 : 148,677.60 = 85,409.60 : x
  2. Step 2: Convert to fraction form
    99,233.60/148,677.60 = 85,409.60/x
  3. Step 3: Cross multiply
    99,233.60x = 148,677.60 × 85,409.60
  4. Step 4: Simplify right side
    99,233.60x = 12,698,494,344.96
  5. Step 5: Solve for x
    x = 12,698,494,344.96/99,233.60
  6. Step 6: Final answer
    x = 127,965.67

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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.