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Finding the Fourth Proportional to 73,989, 102,104.82 and 40,455

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Solution

The fourth proportional to 73,989, 102,104.82 and 40,455 is: 55,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989 : 102,104.82 = 40,455 : x
  2. Step 2: Convert to fraction form
    73,989/102,104.82 = 40,455/x
  3. Step 3: Cross multiply
    73,989x = 102,104.82 × 40,455
  4. Step 4: Simplify right side
    73,989x = 4,130,650,493.10
  5. Step 5: Solve for x
    x = 4,130,650,493.10/73,989
  6. Step 6: Final answer
    x = 55,827.90

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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.