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Finding the Fourth Proportional to 148,763.80, 205,293.81 and 81,695.80

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Solution

The fourth proportional to 148,763.80, 205,293.81 and 81,695.80 is: 112,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,763.80 : 205,293.81 = 81,695.80 : x
  2. Step 2: Convert to fraction form
    148,763.80/205,293.81 = 81,695.80/x
  3. Step 3: Cross multiply
    148,763.80x = 205,293.81 × 81,695.80
  4. Step 4: Simplify right side
    148,763.80x = 16,771,642,043.00
  5. Step 5: Solve for x
    x = 16,771,642,043.00/148,763.80
  6. Step 6: Final answer
    x = 112,740.08

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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.