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Finding the Fourth Proportional to 206,015.40, 308,963.58 and 93,633

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Solution

The fourth proportional to 206,015.40, 308,963.58 and 93,633 is: 140,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,015.40 : 308,963.58 = 93,633 : x
  2. Step 2: Convert to fraction form
    206,015.40/308,963.58 = 93,633/x
  3. Step 3: Cross multiply
    206,015.40x = 308,963.58 × 93,633
  4. Step 4: Simplify right side
    206,015.40x = 28,929,186,886.14
  5. Step 5: Solve for x
    x = 28,929,186,886.14/206,015.40
  6. Step 6: Final answer
    x = 140,422.45

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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.