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Finding the Fourth Proportional to 138,326.81, 189,646.74 and 135,804.92

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Solution

The fourth proportional to 138,326.81, 189,646.74 and 135,804.92 is: 186,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,326.81 : 189,646.74 = 135,804.92 : x
  2. Step 2: Convert to fraction form
    138,326.81/189,646.74 = 135,804.92/x
  3. Step 3: Cross multiply
    138,326.81x = 189,646.74 × 135,804.92
  4. Step 4: Simplify right side
    138,326.81x = 25,754,959,405.73
  5. Step 5: Solve for x
    x = 25,754,959,405.73/138,326.81
  6. Step 6: Final answer
    x = 186,189.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.