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Finding the Fourth Proportional to 129,857.85, 194,762.17 and 45,598.21

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Solution

The fourth proportional to 129,857.85, 194,762.17 and 45,598.21 is: 68,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857.85 : 194,762.17 = 45,598.21 : x
  2. Step 2: Convert to fraction form
    129,857.85/194,762.17 = 45,598.21/x
  3. Step 3: Cross multiply
    129,857.85x = 194,762.17 × 45,598.21
  4. Step 4: Simplify right side
    129,857.85x = 8,880,805,897.81
  5. Step 5: Solve for x
    x = 8,880,805,897.81/129,857.85
  6. Step 6: Final answer
    x = 68,388.67

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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.