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Finding the Fourth Proportional to 139,827.64, 209,745.10 and 34,645.08

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Solution

The fourth proportional to 139,827.64, 209,745.10 and 34,645.08 is: 51,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,827.64 : 209,745.10 = 34,645.08 : x
  2. Step 2: Convert to fraction form
    139,827.64/209,745.10 = 34,645.08/x
  3. Step 3: Cross multiply
    139,827.64x = 209,745.10 × 34,645.08
  4. Step 4: Simplify right side
    139,827.64x = 7,266,635,769.11
  5. Step 5: Solve for x
    x = 7,266,635,769.11/139,827.64
  6. Step 6: Final answer
    x = 51,968.52

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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.