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Finding the Fourth Proportional to 205,312, 283,330.56 and 111,104

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Solution

The fourth proportional to 205,312, 283,330.56 and 111,104 is: 153,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,312 : 283,330.56 = 111,104 : x
  2. Step 2: Convert to fraction form
    205,312/283,330.56 = 111,104/x
  3. Step 3: Cross multiply
    205,312x = 283,330.56 × 111,104
  4. Step 4: Simplify right side
    205,312x = 31,479,158,538.24
  5. Step 5: Solve for x
    x = 31,479,158,538.24/205,312
  6. Step 6: Final answer
    x = 153,323.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.