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Finding the Fourth Proportional to 145,615.81, 218,433.61 and 49,513.88

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Solution

The fourth proportional to 145,615.81, 218,433.61 and 49,513.88 is: 74,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.81 : 218,433.61 = 49,513.88 : x
  2. Step 2: Convert to fraction form
    145,615.81/218,433.61 = 49,513.88/x
  3. Step 3: Cross multiply
    145,615.81x = 218,433.61 × 49,513.88
  4. Step 4: Simplify right side
    145,615.81x = 10,815,496,161.48
  5. Step 5: Solve for x
    x = 10,815,496,161.48/145,615.81
  6. Step 6: Final answer
    x = 74,274.19

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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.