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Finding the Fourth Proportional to 145,874.80, 218,812.20 and 123,065.20

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Solution

The fourth proportional to 145,874.80, 218,812.20 and 123,065.20 is: 184,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,874.80 : 218,812.20 = 123,065.20 : x
  2. Step 2: Convert to fraction form
    145,874.80/218,812.20 = 123,065.20/x
  3. Step 3: Cross multiply
    145,874.80x = 218,812.20 × 123,065.20
  4. Step 4: Simplify right side
    145,874.80x = 26,928,167,155.44
  5. Step 5: Solve for x
    x = 26,928,167,155.44/145,874.80
  6. Step 6: Final answer
    x = 184,597.80

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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.