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Finding the Fourth Proportional to 101,771.34, 140,441.12 and 61,478.08

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Solution

The fourth proportional to 101,771.34, 140,441.12 and 61,478.08 is: 84,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.34 : 140,441.12 = 61,478.08 : x
  2. Step 2: Convert to fraction form
    101,771.34/140,441.12 = 61,478.08/x
  3. Step 3: Cross multiply
    101,771.34x = 140,441.12 × 61,478.08
  4. Step 4: Simplify right side
    101,771.34x = 8,634,050,410.65
  5. Step 5: Solve for x
    x = 8,634,050,410.65/101,771.34
  6. Step 6: Final answer
    x = 84,837.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.