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Finding the Fourth Proportional to 132,570, 182,946.63 and 72,954

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Solution

The fourth proportional to 132,570, 182,946.63 and 72,954 is: 100,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,570 : 182,946.63 = 72,954 : x
  2. Step 2: Convert to fraction form
    132,570/182,946.63 = 72,954/x
  3. Step 3: Cross multiply
    132,570x = 182,946.63 × 72,954
  4. Step 4: Simplify right side
    132,570x = 13,346,688,445.02
  5. Step 5: Solve for x
    x = 13,346,688,445.02/132,570
  6. Step 6: Final answer
    x = 100,676.54

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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.