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Finding the Fourth Proportional to 187,561.64, 258,835.26 and 102,678.90

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Solution

The fourth proportional to 187,561.64, 258,835.26 and 102,678.90 is: 141,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,561.64 : 258,835.26 = 102,678.90 : x
  2. Step 2: Convert to fraction form
    187,561.64/258,835.26 = 102,678.90/x
  3. Step 3: Cross multiply
    187,561.64x = 258,835.26 × 102,678.90
  4. Step 4: Simplify right side
    187,561.64x = 26,576,919,778.01
  5. Step 5: Solve for x
    x = 26,576,919,778.01/187,561.64
  6. Step 6: Final answer
    x = 141,696.99

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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.