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Finding the Fourth Proportional to 103,419.84, 154,986.23 and 47,122.36

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Solution

The fourth proportional to 103,419.84, 154,986.23 and 47,122.36 is: 70,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.84 : 154,986.23 = 47,122.36 : x
  2. Step 2: Convert to fraction form
    103,419.84/154,986.23 = 47,122.36/x
  3. Step 3: Cross multiply
    103,419.84x = 154,986.23 × 47,122.36
  4. Step 4: Simplify right side
    103,419.84x = 7,303,317,236.64
  5. Step 5: Solve for x
    x = 7,303,317,236.64/103,419.84
  6. Step 6: Final answer
    x = 70,618.15

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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.