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Finding the Fourth Proportional to 231,672, 319,705.20 and 131,070

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Solution

The fourth proportional to 231,672, 319,705.20 and 131,070 is: 180,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,672 : 319,705.20 = 131,070 : x
  2. Step 2: Convert to fraction form
    231,672/319,705.20 = 131,070/x
  3. Step 3: Cross multiply
    231,672x = 319,705.20 × 131,070
  4. Step 4: Simplify right side
    231,672x = 41,903,760,564
  5. Step 5: Solve for x
    x = 41,903,760,564/231,672
  6. Step 6: Final answer
    x = 180,875.38

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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.