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Finding the Fourth Proportional to 145,071.63, 200,213.24 and 81,409.68

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Solution

The fourth proportional to 145,071.63, 200,213.24 and 81,409.68 is: 112,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,071.63 : 200,213.24 = 81,409.68 : x
  2. Step 2: Convert to fraction form
    145,071.63/200,213.24 = 81,409.68/x
  3. Step 3: Cross multiply
    145,071.63x = 200,213.24 × 81,409.68
  4. Step 4: Simplify right side
    145,071.63x = 16,299,295,393.11
  5. Step 5: Solve for x
    x = 16,299,295,393.11/145,071.63
  6. Step 6: Final answer
    x = 112,353.43

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1.5x scale

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.