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Finding the Fourth Proportional to 237,899.80, 328,301.22 and 137,297.80

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Solution

The fourth proportional to 237,899.80, 328,301.22 and 137,297.80 is: 189,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,899.80 : 328,301.22 = 137,297.80 : x
  2. Step 2: Convert to fraction form
    237,899.80/328,301.22 = 137,297.80/x
  3. Step 3: Cross multiply
    237,899.80x = 328,301.22 × 137,297.80
  4. Step 4: Simplify right side
    237,899.80x = 45,075,035,243.32
  5. Step 5: Solve for x
    x = 45,075,035,243.32/237,899.80
  6. Step 6: Final answer
    x = 189,470.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.