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Finding the Fourth Proportional to 103,615.94, 155,374.41 and 47,439.14

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Solution

The fourth proportional to 103,615.94, 155,374.41 and 47,439.14 is: 71,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615.94 : 155,374.41 = 47,439.14 : x
  2. Step 2: Convert to fraction form
    103,615.94/155,374.41 = 47,439.14/x
  3. Step 3: Cross multiply
    103,615.94x = 155,374.41 × 47,439.14
  4. Step 4: Simplify right side
    103,615.94x = 7,370,828,388.41
  5. Step 5: Solve for x
    x = 7,370,828,388.41/103,615.94
  6. Step 6: Final answer
    x = 71,136.05

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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.