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Finding the Fourth Proportional to 189,943.94, 262,203.36 and 118,359.38

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Solution

The fourth proportional to 189,943.94, 262,203.36 and 118,359.38 is: 163,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,943.94 : 262,203.36 = 118,359.38 : x
  2. Step 2: Convert to fraction form
    189,943.94/262,203.36 = 118,359.38/x
  3. Step 3: Cross multiply
    189,943.94x = 262,203.36 × 118,359.38
  4. Step 4: Simplify right side
    189,943.94x = 31,034,227,123.52
  5. Step 5: Solve for x
    x = 31,034,227,123.52/189,943.94
  6. Step 6: Final answer
    x = 163,386.25

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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.