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Finding the Fourth Proportional to 260,188.80, 390,356.64 and 73,201.92

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Solution

The fourth proportional to 260,188.80, 390,356.64 and 73,201.92 is: 109,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,188.80 : 390,356.64 = 73,201.92 : x
  2. Step 2: Convert to fraction form
    260,188.80/390,356.64 = 73,201.92/x
  3. Step 3: Cross multiply
    260,188.80x = 390,356.64 × 73,201.92
  4. Step 4: Simplify right side
    260,188.80x = 28,574,855,532.75
  5. Step 5: Solve for x
    x = 28,574,855,532.75/260,188.80
  6. Step 6: Final answer
    x = 109,823.54

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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.