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Finding the Fourth Proportional to 118,313.10, 177,469.65 and 71,657.10

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Solution

The fourth proportional to 118,313.10, 177,469.65 and 71,657.10 is: 107,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,313.10 : 177,469.65 = 71,657.10 : x
  2. Step 2: Convert to fraction form
    118,313.10/177,469.65 = 71,657.10/x
  3. Step 3: Cross multiply
    118,313.10x = 177,469.65 × 71,657.10
  4. Step 4: Simplify right side
    118,313.10x = 12,716,960,457.02
  5. Step 5: Solve for x
    x = 12,716,960,457.02/118,313.10
  6. Step 6: Final answer
    x = 107,485.65

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