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Finding the Fourth Proportional to 145,935, 201,390.30 and 78,867

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Solution

The fourth proportional to 145,935, 201,390.30 and 78,867 is: 108,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,935 : 201,390.30 = 78,867 : x
  2. Step 2: Convert to fraction form
    145,935/201,390.30 = 78,867/x
  3. Step 3: Cross multiply
    145,935x = 201,390.30 × 78,867
  4. Step 4: Simplify right side
    145,935x = 15,883,048,790.10
  5. Step 5: Solve for x
    x = 15,883,048,790.10/145,935
  6. Step 6: Final answer
    x = 108,836.46

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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.