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Finding the Fourth Proportional to 132,894, 183,393.72 and 73,278

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Solution

The fourth proportional to 132,894, 183,393.72 and 73,278 is: 101,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894 : 183,393.72 = 73,278 : x
  2. Step 2: Convert to fraction form
    132,894/183,393.72 = 73,278/x
  3. Step 3: Cross multiply
    132,894x = 183,393.72 × 73,278
  4. Step 4: Simplify right side
    132,894x = 13,438,725,014.16
  5. Step 5: Solve for x
    x = 13,438,725,014.16/132,894
  6. Step 6: Final answer
    x = 101,123.64

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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.