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Finding the Fourth Proportional to 145,690.81, 218,567.48 and 82,541.19

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Solution

The fourth proportional to 145,690.81, 218,567.48 and 82,541.19 is: 123,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690.81 : 218,567.48 = 82,541.19 : x
  2. Step 2: Convert to fraction form
    145,690.81/218,567.48 = 82,541.19/x
  3. Step 3: Cross multiply
    145,690.81x = 218,567.48 × 82,541.19
  4. Step 4: Simplify right side
    145,690.81x = 18,040,818,801.66
  5. Step 5: Solve for x
    x = 18,040,818,801.66/145,690.81
  6. Step 6: Final answer
    x = 123,829.49

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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.