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Finding the Fourth Proportional to 119,208.96, 178,862.40 and 56,839.68

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Solution

The fourth proportional to 119,208.96, 178,862.40 and 56,839.68 is: 85,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,208.96 : 178,862.40 = 56,839.68 : x
  2. Step 2: Convert to fraction form
    119,208.96/178,862.40 = 56,839.68/x
  3. Step 3: Cross multiply
    119,208.96x = 178,862.40 × 56,839.68
  4. Step 4: Simplify right side
    119,208.96x = 10,166,481,580.03
  5. Step 5: Solve for x
    x = 10,166,481,580.03/119,208.96
  6. Step 6: Final answer
    x = 85,282.86

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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.