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Finding the Fourth Proportional to 145,106.56, 200,266.64 and 81,447.84

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Solution

The fourth proportional to 145,106.56, 200,266.64 and 81,447.84 is: 112,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,106.56 : 200,266.64 = 81,447.84 : x
  2. Step 2: Convert to fraction form
    145,106.56/200,266.64 = 81,447.84/x
  3. Step 3: Cross multiply
    145,106.56x = 200,266.64 × 81,447.84
  4. Step 4: Simplify right side
    145,106.56x = 16,311,285,252.06
  5. Step 5: Solve for x
    x = 16,311,285,252.06/145,106.56
  6. Step 6: Final answer
    x = 112,409.01

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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.