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Finding the Fourth Proportional to 230,465.60, 345,698.41 and 72,706.36

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Solution

The fourth proportional to 230,465.60, 345,698.41 and 72,706.36 is: 109,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,465.60 : 345,698.41 = 72,706.36 : x
  2. Step 2: Convert to fraction form
    230,465.60/345,698.41 = 72,706.36/x
  3. Step 3: Cross multiply
    230,465.60x = 345,698.41 × 72,706.36
  4. Step 4: Simplify right side
    230,465.60x = 25,134,472,582.90
  5. Step 5: Solve for x
    x = 25,134,472,582.90/230,465.60
  6. Step 6: Final answer
    x = 109,059.54

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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.