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Finding the Fourth Proportional to 159,257.28, 238,805.32 and 70,538

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Solution

The fourth proportional to 159,257.28, 238,805.32 and 70,538 is: 105,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,257.28 : 238,805.32 = 70,538 : x
  2. Step 2: Convert to fraction form
    159,257.28/238,805.32 = 70,538/x
  3. Step 3: Cross multiply
    159,257.28x = 238,805.32 × 70,538
  4. Step 4: Simplify right side
    159,257.28x = 16,844,849,662.16
  5. Step 5: Solve for x
    x = 16,844,849,662.16/159,257.28
  6. Step 6: Final answer
    x = 105,771.30

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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.