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Finding the Fourth Proportional to 75,074.34, 103,640.06 and 43,237.06

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Solution

The fourth proportional to 75,074.34, 103,640.06 and 43,237.06 is: 59,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074.34 : 103,640.06 = 43,237.06 : x
  2. Step 2: Convert to fraction form
    75,074.34/103,640.06 = 43,237.06/x
  3. Step 3: Cross multiply
    75,074.34x = 103,640.06 × 43,237.06
  4. Step 4: Simplify right side
    75,074.34x = 4,481,091,492.62
  5. Step 5: Solve for x
    x = 4,481,091,492.62/75,074.34
  6. Step 6: Final answer
    x = 59,688.72

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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.