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Finding the Fourth Proportional to 205,722.81, 308,312.60 and 110,719.53

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Solution

The fourth proportional to 205,722.81, 308,312.60 and 110,719.53 is: 165,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.81 : 308,312.60 = 110,719.53 : x
  2. Step 2: Convert to fraction form
    205,722.81/308,312.60 = 110,719.53/x
  3. Step 3: Cross multiply
    205,722.81x = 308,312.60 × 110,719.53
  4. Step 4: Simplify right side
    205,722.81x = 34,136,225,611.48
  5. Step 5: Solve for x
    x = 34,136,225,611.48/205,722.81
  6. Step 6: Final answer
    x = 165,933.11

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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.