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Finding the Fourth Proportional to 145,852.20, 218,340.90 and 137,201.40

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Solution

The fourth proportional to 145,852.20, 218,340.90 and 137,201.40 is: 205,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,852.20 : 218,340.90 = 137,201.40 : x
  2. Step 2: Convert to fraction form
    145,852.20/218,340.90 = 137,201.40/x
  3. Step 3: Cross multiply
    145,852.20x = 218,340.90 × 137,201.40
  4. Step 4: Simplify right side
    145,852.20x = 29,956,677,157.26
  5. Step 5: Solve for x
    x = 29,956,677,157.26/145,852.20
  6. Step 6: Final answer
    x = 205,390.64

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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.