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Finding the Fourth Proportional to 258,056.31, 387,129.86 and 117,829.11

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Solution

The fourth proportional to 258,056.31, 387,129.86 and 117,829.11 is: 176,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,056.31 : 387,129.86 = 117,829.11 : x
  2. Step 2: Convert to fraction form
    258,056.31/387,129.86 = 117,829.11/x
  3. Step 3: Cross multiply
    258,056.31x = 387,129.86 × 117,829.11
  4. Step 4: Simplify right side
    258,056.31x = 45,615,166,269.08
  5. Step 5: Solve for x
    x = 45,615,166,269.08/258,056.31
  6. Step 6: Final answer
    x = 176,764.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.