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Finding the Fourth Proportional to 205,875.80, 308,813.70 and 81,200.60

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Solution

The fourth proportional to 205,875.80, 308,813.70 and 81,200.60 is: 121,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875.80 : 308,813.70 = 81,200.60 : x
  2. Step 2: Convert to fraction form
    205,875.80/308,813.70 = 81,200.60/x
  3. Step 3: Cross multiply
    205,875.80x = 308,813.70 × 81,200.60
  4. Step 4: Simplify right side
    205,875.80x = 25,075,857,728.22
  5. Step 5: Solve for x
    x = 25,075,857,728.22/205,875.80
  6. Step 6: Final answer
    x = 121,800.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.