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Finding the Fourth Proportional to 229,830.60, 316,904.70 and 161,825.82

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Solution

The fourth proportional to 229,830.60, 316,904.70 and 161,825.82 is: 223,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,830.60 : 316,904.70 = 161,825.82 : x
  2. Step 2: Convert to fraction form
    229,830.60/316,904.70 = 161,825.82/x
  3. Step 3: Cross multiply
    229,830.60x = 316,904.70 × 161,825.82
  4. Step 4: Simplify right side
    229,830.60x = 51,283,362,939.35
  5. Step 5: Solve for x
    x = 51,283,362,939.35/229,830.60
  6. Step 6: Final answer
    x = 223,135.49

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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.