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Finding the Fourth Proportional to 206,894.12, 285,526.12 and 155,816.76

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Solution

The fourth proportional to 206,894.12, 285,526.12 and 155,816.76 is: 215,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,894.12 : 285,526.12 = 155,816.76 : x
  2. Step 2: Convert to fraction form
    206,894.12/285,526.12 = 155,816.76/x
  3. Step 3: Cross multiply
    206,894.12x = 285,526.12 × 155,816.76
  4. Step 4: Simplify right side
    206,894.12x = 44,489,754,913.77
  5. Step 5: Solve for x
    x = 44,489,754,913.77/206,894.12
  6. Step 6: Final answer
    x = 215,036.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.