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Finding the Fourth Proportional to 103,419.91, 154,986.35 and 47,122.43

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Solution

The fourth proportional to 103,419.91, 154,986.35 and 47,122.43 is: 70,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.91 : 154,986.35 = 47,122.43 : x
  2. Step 2: Convert to fraction form
    103,419.91/154,986.35 = 47,122.43/x
  3. Step 3: Cross multiply
    103,419.91x = 154,986.35 × 47,122.43
  4. Step 4: Simplify right side
    103,419.91x = 7,303,333,428.83
  5. Step 5: Solve for x
    x = 7,303,333,428.83/103,419.91
  6. Step 6: Final answer
    x = 70,618.25

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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.