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Finding the Fourth Proportional to 30,106.40, 45,073.20 and 18,442.40

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Solution

The fourth proportional to 30,106.40, 45,073.20 and 18,442.40 is: 27,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.40 : 45,073.20 = 18,442.40 : x
  2. Step 2: Convert to fraction form
    30,106.40/45,073.20 = 18,442.40/x
  3. Step 3: Cross multiply
    30,106.40x = 45,073.20 × 18,442.40
  4. Step 4: Simplify right side
    30,106.40x = 831,257,983.68
  5. Step 5: Solve for x
    x = 831,257,983.68/30,106.40
  6. Step 6: Final answer
    x = 27,610.67

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1.5x scale

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.