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Finding the Fourth Proportional to 135,071.82, 186,401.12 and 74,643.89

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Solution

The fourth proportional to 135,071.82, 186,401.12 and 74,643.89 is: 103,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,071.82 : 186,401.12 = 74,643.89 : x
  2. Step 2: Convert to fraction form
    135,071.82/186,401.12 = 74,643.89/x
  3. Step 3: Cross multiply
    135,071.82x = 186,401.12 × 74,643.89
  4. Step 4: Simplify right side
    135,071.82x = 13,913,703,391.93
  5. Step 5: Solve for x
    x = 13,913,703,391.93/135,071.82
  6. Step 6: Final answer
    x = 103,009.67

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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.