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Finding the Fourth Proportional to 111,713.96, 154,113.84 and 98,980.04

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Solution

The fourth proportional to 111,713.96, 154,113.84 and 98,980.04 is: 136,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,713.96 : 154,113.84 = 98,980.04 : x
  2. Step 2: Convert to fraction form
    111,713.96/154,113.84 = 98,980.04/x
  3. Step 3: Cross multiply
    111,713.96x = 154,113.84 × 98,980.04
  4. Step 4: Simplify right side
    111,713.96x = 15,254,194,047.75
  5. Step 5: Solve for x
    x = 15,254,194,047.75/111,713.96
  6. Step 6: Final answer
    x = 136,546.89

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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.