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Finding the Fourth Proportional to 132,408.17, 182,724.47 and 71,978.93

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Solution

The fourth proportional to 132,408.17, 182,724.47 and 71,978.93 is: 99,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408.17 : 182,724.47 = 71,978.93 : x
  2. Step 2: Convert to fraction form
    132,408.17/182,724.47 = 71,978.93/x
  3. Step 3: Cross multiply
    132,408.17x = 182,724.47 × 71,978.93
  4. Step 4: Simplify right side
    132,408.17x = 13,152,311,828.51
  5. Step 5: Solve for x
    x = 13,152,311,828.51/132,408.17
  6. Step 6: Final answer
    x = 99,331.57

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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.