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Finding the Fourth Proportional to 111,829.98, 154,382.50 and 86,278.98

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Solution

The fourth proportional to 111,829.98, 154,382.50 and 86,278.98 is: 119,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,829.98 : 154,382.50 = 86,278.98 : x
  2. Step 2: Convert to fraction form
    111,829.98/154,382.50 = 86,278.98/x
  3. Step 3: Cross multiply
    111,829.98x = 154,382.50 × 86,278.98
  4. Step 4: Simplify right side
    111,829.98x = 13,319,964,629.85
  5. Step 5: Solve for x
    x = 13,319,964,629.85/111,829.98
  6. Step 6: Final answer
    x = 119,109.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.