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Finding the Fourth Proportional to 235,991.40, 354,038.37 and 86,231.47

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Solution

The fourth proportional to 235,991.40, 354,038.37 and 86,231.47 is: 129,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,991.40 : 354,038.37 = 86,231.47 : x
  2. Step 2: Convert to fraction form
    235,991.40/354,038.37 = 86,231.47/x
  3. Step 3: Cross multiply
    235,991.40x = 354,038.37 × 86,231.47
  4. Step 4: Simplify right side
    235,991.40x = 30,529,248,196.41
  5. Step 5: Solve for x
    x = 30,529,248,196.41/235,991.40
  6. Step 6: Final answer
    x = 129,365.94

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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.