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Finding the Fourth Proportional to 148,925, 205,516.50 and 81,857

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Solution

The fourth proportional to 148,925, 205,516.50 and 81,857 is: 112,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,925 : 205,516.50 = 81,857 : x
  2. Step 2: Convert to fraction form
    148,925/205,516.50 = 81,857/x
  3. Step 3: Cross multiply
    148,925x = 205,516.50 × 81,857
  4. Step 4: Simplify right side
    148,925x = 16,822,964,140.50
  5. Step 5: Solve for x
    x = 16,822,964,140.50/148,925
  6. Step 6: Final answer
    x = 112,962.66

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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.