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Finding the Fourth Proportional to 230,670.40, 345,953.28 and 105,891.52

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Solution

The fourth proportional to 230,670.40, 345,953.28 and 105,891.52 is: 158,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,670.40 : 345,953.28 = 105,891.52 : x
  2. Step 2: Convert to fraction form
    230,670.40/345,953.28 = 105,891.52/x
  3. Step 3: Cross multiply
    230,670.40x = 345,953.28 × 105,891.52
  4. Step 4: Simplify right side
    230,670.40x = 36,633,518,668.19
  5. Step 5: Solve for x
    x = 36,633,518,668.19/230,670.40
  6. Step 6: Final answer
    x = 158,813.26

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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.