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Finding the Fourth Proportional to 132,516, 182,872.08 and 72,900

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Solution

The fourth proportional to 132,516, 182,872.08 and 72,900 is: 100,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,516 : 182,872.08 = 72,900 : x
  2. Step 2: Convert to fraction form
    132,516/182,872.08 = 72,900/x
  3. Step 3: Cross multiply
    132,516x = 182,872.08 × 72,900
  4. Step 4: Simplify right side
    132,516x = 13,331,374,632
  5. Step 5: Solve for x
    x = 13,331,374,632/132,516
  6. Step 6: Final answer
    x = 100,602

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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.