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Finding the Fourth Proportional to 102,121.23, 140,924.84 and 56,799.08

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Solution

The fourth proportional to 102,121.23, 140,924.84 and 56,799.08 is: 78,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,121.23 : 140,924.84 = 56,799.08 : x
  2. Step 2: Convert to fraction form
    102,121.23/140,924.84 = 56,799.08/x
  3. Step 3: Cross multiply
    102,121.23x = 140,924.84 × 56,799.08
  4. Step 4: Simplify right side
    102,121.23x = 8,004,400,272.53
  5. Step 5: Solve for x
    x = 8,004,400,272.53/102,121.23
  6. Step 6: Final answer
    x = 78,381.35

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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.