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Finding the Fourth Proportional to 231,850, 319,956.24 and 135,051.34

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Solution

The fourth proportional to 231,850, 319,956.24 and 135,051.34 is: 186,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,850 : 319,956.24 = 135,051.34 : x
  2. Step 2: Convert to fraction form
    231,850/319,956.24 = 135,051.34/x
  3. Step 3: Cross multiply
    231,850x = 319,956.24 × 135,051.34
  4. Step 4: Simplify right side
    231,850x = 43,210,518,953.36
  5. Step 5: Solve for x
    x = 43,210,518,953.36/231,850
  6. Step 6: Final answer
    x = 186,372.74

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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.