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Finding the Fourth Proportional to 74,447, 102,736.86 and 40,913

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Solution

The fourth proportional to 74,447, 102,736.86 and 40,913 is: 56,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,447 : 102,736.86 = 40,913 : x
  2. Step 2: Convert to fraction form
    74,447/102,736.86 = 40,913/x
  3. Step 3: Cross multiply
    74,447x = 102,736.86 × 40,913
  4. Step 4: Simplify right side
    74,447x = 4,203,273,153.18
  5. Step 5: Solve for x
    x = 4,203,273,153.18/74,447
  6. Step 6: Final answer
    x = 56,459.94

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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.