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Finding the Fourth Proportional to 158,420.81, 237,631.22 and 53,239.78

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Solution

The fourth proportional to 158,420.81, 237,631.22 and 53,239.78 is: 79,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,420.81 : 237,631.22 = 53,239.78 : x
  2. Step 2: Convert to fraction form
    158,420.81/237,631.22 = 53,239.78/x
  3. Step 3: Cross multiply
    158,420.81x = 237,631.22 × 53,239.78
  4. Step 4: Simplify right side
    158,420.81x = 12,651,434,104.42
  5. Step 5: Solve for x
    x = 12,651,434,104.42/158,420.81
  6. Step 6: Final answer
    x = 79,859.67

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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.