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Finding the Fourth Proportional to 102,054.06, 140,837.49 and 61,775.10

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Solution

The fourth proportional to 102,054.06, 140,837.49 and 61,775.10 is: 85,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054.06 : 140,837.49 = 61,775.10 : x
  2. Step 2: Convert to fraction form
    102,054.06/140,837.49 = 61,775.10/x
  3. Step 3: Cross multiply
    102,054.06x = 140,837.49 × 61,775.10
  4. Step 4: Simplify right side
    102,054.06x = 8,700,250,028.50
  5. Step 5: Solve for x
    x = 8,700,250,028.50/102,054.06
  6. Step 6: Final answer
    x = 85,251.39

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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.