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Finding the Fourth Proportional to 138,307.96, 190,863.16 and 77,884.56

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Solution

The fourth proportional to 138,307.96, 190,863.16 and 77,884.56 is: 107,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,307.96 : 190,863.16 = 77,884.56 : x
  2. Step 2: Convert to fraction form
    138,307.96/190,863.16 = 77,884.56/x
  3. Step 3: Cross multiply
    138,307.96x = 190,863.16 × 77,884.56
  4. Step 4: Simplify right side
    138,307.96x = 14,865,293,236.81
  5. Step 5: Solve for x
    x = 14,865,293,236.81/138,307.96
  6. Step 6: Final answer
    x = 107,479.67

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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.