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Finding the Fourth Proportional to 103,615.81, 155,423.10 and 28,735.16

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Solution

The fourth proportional to 103,615.81, 155,423.10 and 28,735.16 is: 43,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615.81 : 155,423.10 = 28,735.16 : x
  2. Step 2: Convert to fraction form
    103,615.81/155,423.10 = 28,735.16/x
  3. Step 3: Cross multiply
    103,615.81x = 155,423.10 × 28,735.16
  4. Step 4: Simplify right side
    103,615.81x = 4,466,106,976.84
  5. Step 5: Solve for x
    x = 4,466,106,976.84/103,615.81
  6. Step 6: Final answer
    x = 43,102.56

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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.