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Finding the Fourth Proportional to 118,705.09, 177,934.59 and 74,229.74

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Solution

The fourth proportional to 118,705.09, 177,934.59 and 74,229.74 is: 111,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,705.09 : 177,934.59 = 74,229.74 : x
  2. Step 2: Convert to fraction form
    118,705.09/177,934.59 = 74,229.74/x
  3. Step 3: Cross multiply
    118,705.09x = 177,934.59 × 74,229.74
  4. Step 4: Simplify right side
    118,705.09x = 13,208,038,352.71
  5. Step 5: Solve for x
    x = 13,208,038,352.71/118,705.09
  6. Step 6: Final answer
    x = 111,267.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.