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Finding the Fourth Proportional to 205,484.31, 308,225.70 and 55,724.22

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Solution

The fourth proportional to 205,484.31, 308,225.70 and 55,724.22 is: 83,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,484.31 : 308,225.70 = 55,724.22 : x
  2. Step 2: Convert to fraction form
    205,484.31/308,225.70 = 55,724.22/x
  3. Step 3: Cross multiply
    205,484.31x = 308,225.70 × 55,724.22
  4. Step 4: Simplify right side
    205,484.31x = 17,175,636,716.45
  5. Step 5: Solve for x
    x = 17,175,636,716.45/205,484.31
  6. Step 6: Final answer
    x = 83,586.12

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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.