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Finding the Fourth Proportional to 180,933.40, 271,400.80 and 75,678.54

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Solution

The fourth proportional to 180,933.40, 271,400.80 and 75,678.54 is: 113,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,933.40 : 271,400.80 = 75,678.54 : x
  2. Step 2: Convert to fraction form
    180,933.40/271,400.80 = 75,678.54/x
  3. Step 3: Cross multiply
    180,933.40x = 271,400.80 × 75,678.54
  4. Step 4: Simplify right side
    180,933.40x = 20,539,216,298.83
  5. Step 5: Solve for x
    x = 20,539,216,298.83/180,933.40
  6. Step 6: Final answer
    x = 113,518.10

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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.