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Finding the Fourth Proportional to 142,443.18, 213,696.36 and 53,697.47

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Solution

The fourth proportional to 142,443.18, 213,696.36 and 53,697.47 is: 80,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.18 : 213,696.36 = 53,697.47 : x
  2. Step 2: Convert to fraction form
    142,443.18/213,696.36 = 53,697.47/x
  3. Step 3: Cross multiply
    142,443.18x = 213,696.36 × 53,697.47
  4. Step 4: Simplify right side
    142,443.18x = 11,474,952,811.73
  5. Step 5: Solve for x
    x = 11,474,952,811.73/142,443.18
  6. Step 6: Final answer
    x = 80,558.11

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1.5x scale

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.