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Finding the Fourth Proportional to 229,687, 316,835.94 and 143,496.52

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Solution

The fourth proportional to 229,687, 316,835.94 and 143,496.52 is: 197,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,687 : 316,835.94 = 143,496.52 : x
  2. Step 2: Convert to fraction form
    229,687/316,835.94 = 143,496.52/x
  3. Step 3: Cross multiply
    229,687x = 316,835.94 × 143,496.52
  4. Step 4: Simplify right side
    229,687x = 45,464,854,800.93
  5. Step 5: Solve for x
    x = 45,464,854,800.93/229,687
  6. Step 6: Final answer
    x = 197,942.66

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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.