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Finding the Fourth Proportional to 133,642, 184,426.32 and 74,026

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Solution

The fourth proportional to 133,642, 184,426.32 and 74,026 is: 102,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,642 : 184,426.32 = 74,026 : x
  2. Step 2: Convert to fraction form
    133,642/184,426.32 = 74,026/x
  3. Step 3: Cross multiply
    133,642x = 184,426.32 × 74,026
  4. Step 4: Simplify right side
    133,642x = 13,652,342,764.32
  5. Step 5: Solve for x
    x = 13,652,342,764.32/133,642
  6. Step 6: Final answer
    x = 102,156.08

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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.