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Finding the Fourth Proportional to 123,698.34, 185,267.16 and 78,719.58

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Solution

The fourth proportional to 123,698.34, 185,267.16 and 78,719.58 is: 117,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,698.34 : 185,267.16 = 78,719.58 : x
  2. Step 2: Convert to fraction form
    123,698.34/185,267.16 = 78,719.58/x
  3. Step 3: Cross multiply
    123,698.34x = 185,267.16 × 78,719.58
  4. Step 4: Simplify right side
    123,698.34x = 14,584,153,022.99
  5. Step 5: Solve for x
    x = 14,584,153,022.99/123,698.34
  6. Step 6: Final answer
    x = 117,900.96

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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.