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Finding the Fourth Proportional to 118,447.36, 177,516.80 and 105,894.40

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Solution

The fourth proportional to 118,447.36, 177,516.80 and 105,894.40 is: 158,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,447.36 : 177,516.80 = 105,894.40 : x
  2. Step 2: Convert to fraction form
    118,447.36/177,516.80 = 105,894.40/x
  3. Step 3: Cross multiply
    118,447.36x = 177,516.80 × 105,894.40
  4. Step 4: Simplify right side
    118,447.36x = 18,798,035,025.92
  5. Step 5: Solve for x
    x = 18,798,035,025.92/118,447.36
  6. Step 6: Final answer
    x = 158,703.71

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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.