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Finding the Fourth Proportional to 56,395, 84,598.22 and 20,865.70

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Solution

The fourth proportional to 56,395, 84,598.22 and 20,865.70 is: 31,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395 : 84,598.22 = 20,865.70 : x
  2. Step 2: Convert to fraction form
    56,395/84,598.22 = 20,865.70/x
  3. Step 3: Cross multiply
    56,395x = 84,598.22 × 20,865.70
  4. Step 4: Simplify right side
    56,395x = 1,765,201,079.05
  5. Step 5: Solve for x
    x = 1,765,201,079.05/56,395
  6. Step 6: Final answer
    x = 31,300.67

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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.