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Finding the Fourth Proportional to 206,007.36, 308,482.56 and 142,737.60

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Solution

The fourth proportional to 206,007.36, 308,482.56 and 142,737.60 is: 213,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,007.36 : 308,482.56 = 142,737.60 : x
  2. Step 2: Convert to fraction form
    206,007.36/308,482.56 = 142,737.60/x
  3. Step 3: Cross multiply
    206,007.36x = 308,482.56 × 142,737.60
  4. Step 4: Simplify right side
    206,007.36x = 44,032,060,256.26
  5. Step 5: Solve for x
    x = 44,032,060,256.26/206,007.36
  6. Step 6: Final answer
    x = 213,740.23

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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.