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Finding the Fourth Proportional to 142,453.58, 213,710.62 and 53,704.94

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Solution

The fourth proportional to 142,453.58, 213,710.62 and 53,704.94 is: 80,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,453.58 : 213,710.62 = 53,704.94 : x
  2. Step 2: Convert to fraction form
    142,453.58/213,710.62 = 53,704.94/x
  3. Step 3: Cross multiply
    142,453.58x = 213,710.62 × 53,704.94
  4. Step 4: Simplify right side
    142,453.58x = 11,477,316,024.46
  5. Step 5: Solve for x
    x = 11,477,316,024.46/142,453.58
  6. Step 6: Final answer
    x = 80,568.81

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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.