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Finding the Fourth Proportional to 189,313.08, 283,962.74 and 76,990.11

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Solution

The fourth proportional to 189,313.08, 283,962.74 and 76,990.11 is: 115,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,313.08 : 283,962.74 = 76,990.11 : x
  2. Step 2: Convert to fraction form
    189,313.08/283,962.74 = 76,990.11/x
  3. Step 3: Cross multiply
    189,313.08x = 283,962.74 × 76,990.11
  4. Step 4: Simplify right side
    189,313.08x = 21,862,322,203.55
  5. Step 5: Solve for x
    x = 21,862,322,203.55/189,313.08
  6. Step 6: Final answer
    x = 115,482.36

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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.