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Finding the Fourth Proportional to 133,748, 184,572.56 and 74,132

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Solution

The fourth proportional to 133,748, 184,572.56 and 74,132 is: 102,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748 : 184,572.56 = 74,132 : x
  2. Step 2: Convert to fraction form
    133,748/184,572.56 = 74,132/x
  3. Step 3: Cross multiply
    133,748x = 184,572.56 × 74,132
  4. Step 4: Simplify right side
    133,748x = 13,682,733,017.92
  5. Step 5: Solve for x
    x = 13,682,733,017.92/133,748
  6. Step 6: Final answer
    x = 102,302.34

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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.