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Finding the Fourth Proportional to 205,892.60, 308,450.10 and 105,711.80

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Solution

The fourth proportional to 205,892.60, 308,450.10 and 105,711.80 is: 158,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,892.60 : 308,450.10 = 105,711.80 : x
  2. Step 2: Convert to fraction form
    205,892.60/308,450.10 = 105,711.80/x
  3. Step 3: Cross multiply
    205,892.60x = 308,450.10 × 105,711.80
  4. Step 4: Simplify right side
    205,892.60x = 32,606,815,281.18
  5. Step 5: Solve for x
    x = 32,606,815,281.18/205,892.60
  6. Step 6: Final answer
    x = 158,368.08

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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.