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Finding the Fourth Proportional to 149,783.58, 206,703 and 81,802.58

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Solution

The fourth proportional to 149,783.58, 206,703 and 81,802.58 is: 112,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,783.58 : 206,703 = 81,802.58 : x
  2. Step 2: Convert to fraction form
    149,783.58/206,703 = 81,802.58/x
  3. Step 3: Cross multiply
    149,783.58x = 206,703 × 81,802.58
  4. Step 4: Simplify right side
    149,783.58x = 16,908,837,660.23
  5. Step 5: Solve for x
    x = 16,908,837,660.23/149,783.58
  6. Step 6: Final answer
    x = 112,888.46

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1.5x scale

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.