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Finding the Fourth Proportional to 187,102.56, 258,191.88 and 102,203.28

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Solution

The fourth proportional to 187,102.56, 258,191.88 and 102,203.28 is: 141,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,102.56 : 258,191.88 = 102,203.28 : x
  2. Step 2: Convert to fraction form
    187,102.56/258,191.88 = 102,203.28/x
  3. Step 3: Cross multiply
    187,102.56x = 258,191.88 × 102,203.28
  4. Step 4: Simplify right side
    187,102.56x = 26,388,057,005.37
  5. Step 5: Solve for x
    x = 26,388,057,005.37/187,102.56
  6. Step 6: Final answer
    x = 141,035.25

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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.