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Finding the Fourth Proportional to 103,135.76, 154,703.76 and 28,256.54

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Solution

The fourth proportional to 103,135.76, 154,703.76 and 28,256.54 is: 42,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,135.76 : 154,703.76 = 28,256.54 : x
  2. Step 2: Convert to fraction form
    103,135.76/154,703.76 = 28,256.54/x
  3. Step 3: Cross multiply
    103,135.76x = 154,703.76 × 28,256.54
  4. Step 4: Simplify right side
    103,135.76x = 4,371,392,982.59
  5. Step 5: Solve for x
    x = 4,371,392,982.59/103,135.76
  6. Step 6: Final answer
    x = 42,384.84

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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.