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Finding the Fourth Proportional to 99,655.30, 149,050.95 and 89,200.90

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Solution

The fourth proportional to 99,655.30, 149,050.95 and 89,200.90 is: 133,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,655.30 : 149,050.95 = 89,200.90 : x
  2. Step 2: Convert to fraction form
    99,655.30/149,050.95 = 89,200.90/x
  3. Step 3: Cross multiply
    99,655.30x = 149,050.95 × 89,200.90
  4. Step 4: Simplify right side
    99,655.30x = 13,295,478,885.86
  5. Step 5: Solve for x
    x = 13,295,478,885.86/99,655.30
  6. Step 6: Final answer
    x = 133,414.67

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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.