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Finding the Fourth Proportional to 254,507.65, 381,676.71 and 102,665.50

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Solution

The fourth proportional to 254,507.65, 381,676.71 and 102,665.50 is: 153,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,507.65 : 381,676.71 = 102,665.50 : x
  2. Step 2: Convert to fraction form
    254,507.65/381,676.71 = 102,665.50/x
  3. Step 3: Cross multiply
    254,507.65x = 381,676.71 × 102,665.50
  4. Step 4: Simplify right side
    254,507.65x = 39,185,030,270.51
  5. Step 5: Solve for x
    x = 39,185,030,270.51/254,507.65
  6. Step 6: Final answer
    x = 153,964.06

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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.