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Finding the Fourth Proportional to 229,128.96, 316,212.48 and 128,533.44

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Solution

The fourth proportional to 229,128.96, 316,212.48 and 128,533.44 is: 177,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,128.96 : 316,212.48 = 128,533.44 : x
  2. Step 2: Convert to fraction form
    229,128.96/316,212.48 = 128,533.44/x
  3. Step 3: Cross multiply
    229,128.96x = 316,212.48 × 128,533.44
  4. Step 4: Simplify right side
    229,128.96x = 40,643,877,825.33
  5. Step 5: Solve for x
    x = 40,643,877,825.33/229,128.96
  6. Step 6: Final answer
    x = 177,384.29

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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.