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Finding the Fourth Proportional to 189,064, 260,900.16 and 108,435.52

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Solution

The fourth proportional to 189,064, 260,900.16 and 108,435.52 is: 149,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064 : 260,900.16 = 108,435.52 : x
  2. Step 2: Convert to fraction form
    189,064/260,900.16 = 108,435.52/x
  3. Step 3: Cross multiply
    189,064x = 260,900.16 × 108,435.52
  4. Step 4: Simplify right side
    189,064x = 28,290,844,517.68
  5. Step 5: Solve for x
    x = 28,290,844,517.68/189,064
  6. Step 6: Final answer
    x = 149,636.34

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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.