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Finding the Fourth Proportional to 74,688.50, 103,072.29 and 41,156.66

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Solution

The fourth proportional to 74,688.50, 103,072.29 and 41,156.66 is: 56,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,688.50 : 103,072.29 = 41,156.66 : x
  2. Step 2: Convert to fraction form
    74,688.50/103,072.29 = 41,156.66/x
  3. Step 3: Cross multiply
    74,688.50x = 103,072.29 × 41,156.66
  4. Step 4: Simplify right side
    74,688.50x = 4,242,111,194.95
  5. Step 5: Solve for x
    x = 4,242,111,194.95/74,688.50
  6. Step 6: Final answer
    x = 56,797.38

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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.