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Finding the Fourth Proportional to 118,813.94, 163,963.20 and 71,078.50

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Solution

The fourth proportional to 118,813.94, 163,963.20 and 71,078.50 is: 98,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,813.94 : 163,963.20 = 71,078.50 : x
  2. Step 2: Convert to fraction form
    118,813.94/163,963.20 = 71,078.50/x
  3. Step 3: Cross multiply
    118,813.94x = 163,963.20 × 71,078.50
  4. Step 4: Simplify right side
    118,813.94x = 11,654,258,311.20
  5. Step 5: Solve for x
    x = 11,654,258,311.20/118,813.94
  6. Step 6: Final answer
    x = 98,088.31

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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.