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Finding the Fourth Proportional to 225,863.64, 311,681.93 and 135,270

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Solution

The fourth proportional to 225,863.64, 311,681.93 and 135,270 is: 186,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,863.64 : 311,681.93 = 135,270 : x
  2. Step 2: Convert to fraction form
    225,863.64/311,681.93 = 135,270/x
  3. Step 3: Cross multiply
    225,863.64x = 311,681.93 × 135,270
  4. Step 4: Simplify right side
    225,863.64x = 42,161,213,994.75
  5. Step 5: Solve for x
    x = 42,161,213,994.75/225,863.64
  6. Step 6: Final answer
    x = 186,666.67

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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.