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Finding the Fourth Proportional to 187,858.84, 281,656.98 and 69,514.78

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Solution

The fourth proportional to 187,858.84, 281,656.98 and 69,514.78 is: 104,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858.84 : 281,656.98 = 69,514.78 : x
  2. Step 2: Convert to fraction form
    187,858.84/281,656.98 = 69,514.78/x
  3. Step 3: Cross multiply
    187,858.84x = 281,656.98 × 69,514.78
  4. Step 4: Simplify right side
    187,858.84x = 19,579,323,000.16
  5. Step 5: Solve for x
    x = 19,579,323,000.16/187,858.84
  6. Step 6: Final answer
    x = 104,223.59

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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.