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Finding the Fourth Proportional to 238,947.40, 358,453.74 and 81,133.48

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Solution

The fourth proportional to 238,947.40, 358,453.74 and 81,133.48 is: 121,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,947.40 : 358,453.74 = 81,133.48 : x
  2. Step 2: Convert to fraction form
    238,947.40/358,453.74 = 81,133.48/x
  3. Step 3: Cross multiply
    238,947.40x = 358,453.74 × 81,133.48
  4. Step 4: Simplify right side
    238,947.40x = 29,082,599,345.22
  5. Step 5: Solve for x
    x = 29,082,599,345.22/238,947.40
  6. Step 6: Final answer
    x = 121,711.30

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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.