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Finding the Fourth Proportional to 75,005, 103,507 and 41,013.63

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Solution

The fourth proportional to 75,005, 103,507 and 41,013.63 is: 56,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005 : 103,507 = 41,013.63 : x
  2. Step 2: Convert to fraction form
    75,005/103,507 = 41,013.63/x
  3. Step 3: Cross multiply
    75,005x = 103,507 × 41,013.63
  4. Step 4: Simplify right side
    75,005x = 4,245,197,800.41
  5. Step 5: Solve for x
    x = 4,245,197,800.41/75,005
  6. Step 6: Final answer
    x = 56,598.86

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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.