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Finding the Fourth Proportional to 145,957.82, 201,305.17 and 100,625.41

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Solution

The fourth proportional to 145,957.82, 201,305.17 and 100,625.41 is: 138,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.82 : 201,305.17 = 100,625.41 : x
  2. Step 2: Convert to fraction form
    145,957.82/201,305.17 = 100,625.41/x
  3. Step 3: Cross multiply
    145,957.82x = 201,305.17 × 100,625.41
  4. Step 4: Simplify right side
    145,957.82x = 20,256,415,266.37
  5. Step 5: Solve for x
    x = 20,256,415,266.37/145,957.82
  6. Step 6: Final answer
    x = 138,782.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.