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Finding the Fourth Proportional to 145,879, 201,313.02 and 78,811

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Solution

The fourth proportional to 145,879, 201,313.02 and 78,811 is: 108,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879 : 201,313.02 = 78,811 : x
  2. Step 2: Convert to fraction form
    145,879/201,313.02 = 78,811/x
  3. Step 3: Cross multiply
    145,879x = 201,313.02 × 78,811
  4. Step 4: Simplify right side
    145,879x = 15,865,680,419.22
  5. Step 5: Solve for x
    x = 15,865,680,419.22/145,879
  6. Step 6: Final answer
    x = 108,759.18

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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.