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Finding the Fourth Proportional to 145,879.40, 201,313.41 and 78,811.40

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Solution

The fourth proportional to 145,879.40, 201,313.41 and 78,811.40 is: 108,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879.40 : 201,313.41 = 78,811.40 : x
  2. Step 2: Convert to fraction form
    145,879.40/201,313.41 = 78,811.40/x
  3. Step 3: Cross multiply
    145,879.40x = 201,313.41 × 78,811.40
  4. Step 4: Simplify right side
    145,879.40x = 15,865,791,680.87
  5. Step 5: Solve for x
    x = 15,865,791,680.87/145,879.40
  6. Step 6: Final answer
    x = 108,759.64

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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.