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Finding the Fourth Proportional to 133,851, 184,716.54 and 74,235

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Solution

The fourth proportional to 133,851, 184,716.54 and 74,235 is: 102,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,851 : 184,716.54 = 74,235 : x
  2. Step 2: Convert to fraction form
    133,851/184,716.54 = 74,235/x
  3. Step 3: Cross multiply
    133,851x = 184,716.54 × 74,235
  4. Step 4: Simplify right side
    133,851x = 13,712,432,346.90
  5. Step 5: Solve for x
    x = 13,712,432,346.90/133,851
  6. Step 6: Final answer
    x = 102,445.50

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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.