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Finding the Fourth Proportional to 137,245.13, 189,247.88 and 89,409.77

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Solution

The fourth proportional to 137,245.13, 189,247.88 and 89,409.77 is: 123,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245.13 : 189,247.88 = 89,409.77 : x
  2. Step 2: Convert to fraction form
    137,245.13/189,247.88 = 89,409.77/x
  3. Step 3: Cross multiply
    137,245.13x = 189,247.88 × 89,409.77
  4. Step 4: Simplify right side
    137,245.13x = 16,920,608,907.82
  5. Step 5: Solve for x
    x = 16,920,608,907.82/137,245.13
  6. Step 6: Final answer
    x = 123,287.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.