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Finding the Fourth Proportional to 145,603.12, 200,931.88 and 81,940.98

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Solution

The fourth proportional to 145,603.12, 200,931.88 and 81,940.98 is: 113,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,603.12 : 200,931.88 = 81,940.98 : x
  2. Step 2: Convert to fraction form
    145,603.12/200,931.88 = 81,940.98/x
  3. Step 3: Cross multiply
    145,603.12x = 200,931.88 × 81,940.98
  4. Step 4: Simplify right side
    145,603.12x = 16,464,555,160.44
  5. Step 5: Solve for x
    x = 16,464,555,160.44/145,603.12
  6. Step 6: Final answer
    x = 113,078.31

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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.