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Finding the Fourth Proportional to 145,622.81, 218,434.01 and 45,791.75

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Solution

The fourth proportional to 145,622.81, 218,434.01 and 45,791.75 is: 68,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,622.81 : 218,434.01 = 45,791.75 : x
  2. Step 2: Convert to fraction form
    145,622.81/218,434.01 = 45,791.75/x
  3. Step 3: Cross multiply
    145,622.81x = 218,434.01 × 45,791.75
  4. Step 4: Simplify right side
    145,622.81x = 10,002,474,256.29
  5. Step 5: Solve for x
    x = 10,002,474,256.29/145,622.81
  6. Step 6: Final answer
    x = 68,687.55

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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.