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Finding the Fourth Proportional to 145,478.63, 200,758.59 and 81,816.44

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Solution

The fourth proportional to 145,478.63, 200,758.59 and 81,816.44 is: 112,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,478.63 : 200,758.59 = 81,816.44 : x
  2. Step 2: Convert to fraction form
    145,478.63/200,758.59 = 81,816.44/x
  3. Step 3: Cross multiply
    145,478.63x = 200,758.59 × 81,816.44
  4. Step 4: Simplify right side
    145,478.63x = 16,425,352,129.43
  5. Step 5: Solve for x
    x = 16,425,352,129.43/145,478.63
  6. Step 6: Final answer
    x = 112,905.60

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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.