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Finding the Fourth Proportional to 135,234, 186,631.56 and 75,618

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Solution

The fourth proportional to 135,234, 186,631.56 and 75,618 is: 104,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,234 : 186,631.56 = 75,618 : x
  2. Step 2: Convert to fraction form
    135,234/186,631.56 = 75,618/x
  3. Step 3: Cross multiply
    135,234x = 186,631.56 × 75,618
  4. Step 4: Simplify right side
    135,234x = 14,112,705,304.08
  5. Step 5: Solve for x
    x = 14,112,705,304.08/135,234
  6. Step 6: Final answer
    x = 104,357.67

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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.