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Finding the Fourth Proportional to 120,739.40, 181,109.10 and 61,690.40

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Solution

The fourth proportional to 120,739.40, 181,109.10 and 61,690.40 is: 92,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,739.40 : 181,109.10 = 61,690.40 : x
  2. Step 2: Convert to fraction form
    120,739.40/181,109.10 = 61,690.40/x
  3. Step 3: Cross multiply
    120,739.40x = 181,109.10 × 61,690.40
  4. Step 4: Simplify right side
    120,739.40x = 11,172,692,822.64
  5. Step 5: Solve for x
    x = 11,172,692,822.64/120,739.40
  6. Step 6: Final answer
    x = 92,535.60

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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.