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Finding the Fourth Proportional to 137,358.36, 205,775.86 and 78,234.84

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Solution

The fourth proportional to 137,358.36, 205,775.86 and 78,234.84 is: 117,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,358.36 : 205,775.86 = 78,234.84 : x
  2. Step 2: Convert to fraction form
    137,358.36/205,775.86 = 78,234.84/x
  3. Step 3: Cross multiply
    137,358.36x = 205,775.86 × 78,234.84
  4. Step 4: Simplify right side
    137,358.36x = 16,098,841,482.96
  5. Step 5: Solve for x
    x = 16,098,841,482.96/137,358.36
  6. Step 6: Final answer
    x = 117,203.22

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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.