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Finding the Fourth Proportional to 118,903.83, 178,382.07 and 40,015.50

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Solution

The fourth proportional to 118,903.83, 178,382.07 and 40,015.50 is: 60,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,903.83 : 178,382.07 = 40,015.50 : x
  2. Step 2: Convert to fraction form
    118,903.83/178,382.07 = 40,015.50/x
  3. Step 3: Cross multiply
    118,903.83x = 178,382.07 × 40,015.50
  4. Step 4: Simplify right side
    118,903.83x = 7,138,047,722.09
  5. Step 5: Solve for x
    x = 7,138,047,722.09/118,903.83
  6. Step 6: Final answer
    x = 60,032.11

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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.