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Finding the Fourth Proportional to 123,762.40, 185,643.60 and 89,029.60

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Solution

The fourth proportional to 123,762.40, 185,643.60 and 89,029.60 is: 133,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,762.40 : 185,643.60 = 89,029.60 : x
  2. Step 2: Convert to fraction form
    123,762.40/185,643.60 = 89,029.60/x
  3. Step 3: Cross multiply
    123,762.40x = 185,643.60 × 89,029.60
  4. Step 4: Simplify right side
    123,762.40x = 16,527,775,450.56
  5. Step 5: Solve for x
    x = 16,527,775,450.56/123,762.40
  6. Step 6: Final answer
    x = 133,544.40

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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.