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Finding the Fourth Proportional to 159,323.95, 238,930.84 and 70,639.48

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Solution

The fourth proportional to 159,323.95, 238,930.84 and 70,639.48 is: 105,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,323.95 : 238,930.84 = 70,639.48 : x
  2. Step 2: Convert to fraction form
    159,323.95/238,930.84 = 70,639.48/x
  3. Step 3: Cross multiply
    159,323.95x = 238,930.84 × 70,639.48
  4. Step 4: Simplify right side
    159,323.95x = 16,877,950,293.56
  5. Step 5: Solve for x
    x = 16,877,950,293.56/159,323.95
  6. Step 6: Final answer
    x = 105,934.80

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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.