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Finding the Fourth Proportional to 158,947.20, 238,420.80 and 141,436.80

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Solution

The fourth proportional to 158,947.20, 238,420.80 and 141,436.80 is: 212,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,947.20 : 238,420.80 = 141,436.80 : x
  2. Step 2: Convert to fraction form
    158,947.20/238,420.80 = 141,436.80/x
  3. Step 3: Cross multiply
    158,947.20x = 238,420.80 × 141,436.80
  4. Step 4: Simplify right side
    158,947.20x = 33,721,475,005.44
  5. Step 5: Solve for x
    x = 33,721,475,005.44/158,947.20
  6. Step 6: Final answer
    x = 212,155.20

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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.