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Finding the Fourth Proportional to 229,257.72, 316,360.62 and 133,749

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Solution

The fourth proportional to 229,257.72, 316,360.62 and 133,749 is: 184,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.72 : 316,360.62 = 133,749 : x
  2. Step 2: Convert to fraction form
    229,257.72/316,360.62 = 133,749/x
  3. Step 3: Cross multiply
    229,257.72x = 316,360.62 × 133,749
  4. Step 4: Simplify right side
    229,257.72x = 42,312,916,564.38
  5. Step 5: Solve for x
    x = 42,312,916,564.38/229,257.72
  6. Step 6: Final answer
    x = 184,564.85

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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.