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Finding the Fourth Proportional to 118,812.94, 163,961.82 and 71,077.50

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Solution

The fourth proportional to 118,812.94, 163,961.82 and 71,077.50 is: 98,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,812.94 : 163,961.82 = 71,077.50 : x
  2. Step 2: Convert to fraction form
    118,812.94/163,961.82 = 71,077.50/x
  3. Step 3: Cross multiply
    118,812.94x = 163,961.82 × 71,077.50
  4. Step 4: Simplify right side
    118,812.94x = 11,653,996,261.05
  5. Step 5: Solve for x
    x = 11,653,996,261.05/118,812.94
  6. Step 6: Final answer
    x = 98,086.93

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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.