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Finding the Fourth Proportional to 118,838.74, 164,072.03 and 76,470.90

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Solution

The fourth proportional to 118,838.74, 164,072.03 and 76,470.90 is: 105,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,838.74 : 164,072.03 = 76,470.90 : x
  2. Step 2: Convert to fraction form
    118,838.74/164,072.03 = 76,470.90/x
  3. Step 3: Cross multiply
    118,838.74x = 164,072.03 × 76,470.90
  4. Step 4: Simplify right side
    118,838.74x = 12,546,735,798.93
  5. Step 5: Solve for x
    x = 12,546,735,798.93/118,838.74
  6. Step 6: Final answer
    x = 105,577.83

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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.