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Finding the Fourth Proportional to 145,506.78, 200,798.19 and 81,850.50

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Solution

The fourth proportional to 145,506.78, 200,798.19 and 81,850.50 is: 112,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,506.78 : 200,798.19 = 81,850.50 : x
  2. Step 2: Convert to fraction form
    145,506.78/200,798.19 = 81,850.50/x
  3. Step 3: Cross multiply
    145,506.78x = 200,798.19 × 81,850.50
  4. Step 4: Simplify right side
    145,506.78x = 16,435,432,250.60
  5. Step 5: Solve for x
    x = 16,435,432,250.60/145,506.78
  6. Step 6: Final answer
    x = 112,953.03

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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.