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Finding the Fourth Proportional to 148,698, 205,206.48 and 81,630

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Solution

The fourth proportional to 148,698, 205,206.48 and 81,630 is: 112,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,698 : 205,206.48 = 81,630 : x
  2. Step 2: Convert to fraction form
    148,698/205,206.48 = 81,630/x
  3. Step 3: Cross multiply
    148,698x = 205,206.48 × 81,630
  4. Step 4: Simplify right side
    148,698x = 16,751,004,962.40
  5. Step 5: Solve for x
    x = 16,751,004,962.40/148,698
  6. Step 6: Final answer
    x = 112,651.18

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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.