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Finding the Fourth Proportional to 74,643.72, 103,139.42 and 59,660

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Solution

The fourth proportional to 74,643.72, 103,139.42 and 59,660 is: 82,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643.72 : 103,139.42 = 59,660 : x
  2. Step 2: Convert to fraction form
    74,643.72/103,139.42 = 59,660/x
  3. Step 3: Cross multiply
    74,643.72x = 103,139.42 × 59,660
  4. Step 4: Simplify right side
    74,643.72x = 6,153,297,797.20
  5. Step 5: Solve for x
    x = 6,153,297,797.20/74,643.72
  6. Step 6: Final answer
    x = 82,435.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.