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Finding the Fourth Proportional to 132,309, 182,586.42 and 72,693

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Solution

The fourth proportional to 132,309, 182,586.42 and 72,693 is: 100,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,309 : 182,586.42 = 72,693 : x
  2. Step 2: Convert to fraction form
    132,309/182,586.42 = 72,693/x
  3. Step 3: Cross multiply
    132,309x = 182,586.42 × 72,693
  4. Step 4: Simplify right side
    132,309x = 13,272,754,629.06
  5. Step 5: Solve for x
    x = 13,272,754,629.06/132,309
  6. Step 6: Final answer
    x = 100,316.34

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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.