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Finding the Fourth Proportional to 132,416, 182,734.08 and 72,800

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Solution

The fourth proportional to 132,416, 182,734.08 and 72,800 is: 100,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,416 : 182,734.08 = 72,800 : x
  2. Step 2: Convert to fraction form
    132,416/182,734.08 = 72,800/x
  3. Step 3: Cross multiply
    132,416x = 182,734.08 × 72,800
  4. Step 4: Simplify right side
    132,416x = 13,303,041,024
  5. Step 5: Solve for x
    x = 13,303,041,024/132,416
  6. Step 6: Final answer
    x = 100,464

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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.