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Finding the Fourth Proportional to 142,491.56, 213,931.74 and 72,420.44

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Solution

The fourth proportional to 142,491.56, 213,931.74 and 72,420.44 is: 108,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,491.56 : 213,931.74 = 72,420.44 : x
  2. Step 2: Convert to fraction form
    142,491.56/213,931.74 = 72,420.44/x
  3. Step 3: Cross multiply
    142,491.56x = 213,931.74 × 72,420.44
  4. Step 4: Simplify right side
    142,491.56x = 15,493,030,740.77
  5. Step 5: Solve for x
    x = 15,493,030,740.77/142,491.56
  6. Step 6: Final answer
    x = 108,729.46

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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.