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Finding the Fourth Proportional to 229,656.70, 316,943.99 and 137,779.44

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Solution

The fourth proportional to 229,656.70, 316,943.99 and 137,779.44 is: 190,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,656.70 : 316,943.99 = 137,779.44 : x
  2. Step 2: Convert to fraction form
    229,656.70/316,943.99 = 137,779.44/x
  3. Step 3: Cross multiply
    229,656.70x = 316,943.99 × 137,779.44
  4. Step 4: Simplify right side
    229,656.70x = 43,668,364,092.80
  5. Step 5: Solve for x
    x = 43,668,364,092.80/229,656.70
  6. Step 6: Final answer
    x = 190,146.27

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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.