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Finding the Fourth Proportional to 103,406.31, 154,891.50 and 47,293.67

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Solution

The fourth proportional to 103,406.31, 154,891.50 and 47,293.67 is: 70,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.31 : 154,891.50 = 47,293.67 : x
  2. Step 2: Convert to fraction form
    103,406.31/154,891.50 = 47,293.67/x
  3. Step 3: Cross multiply
    103,406.31x = 154,891.50 × 47,293.67
  4. Step 4: Simplify right side
    103,406.31x = 7,325,386,712.35
  5. Step 5: Solve for x
    x = 7,325,386,712.35/103,406.31
  6. Step 6: Final answer
    x = 70,840.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.