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Finding the Fourth Proportional to 159,429.66, 238,988.97 and 76,381.98

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Solution

The fourth proportional to 159,429.66, 238,988.97 and 76,381.98 is: 114,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,429.66 : 238,988.97 = 76,381.98 : x
  2. Step 2: Convert to fraction form
    159,429.66/238,988.97 = 76,381.98/x
  3. Step 3: Cross multiply
    159,429.66x = 238,988.97 × 76,381.98
  4. Step 4: Simplify right side
    159,429.66x = 18,254,450,726.76
  5. Step 5: Solve for x
    x = 18,254,450,726.76/159,429.66
  6. Step 6: Final answer
    x = 114,498.46

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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.