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Finding the Fourth Proportional to 187,238.76, 258,369.96 and 106,649.40

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Solution

The fourth proportional to 187,238.76, 258,369.96 and 106,649.40 is: 147,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,238.76 : 258,369.96 = 106,649.40 : x
  2. Step 2: Convert to fraction form
    187,238.76/258,369.96 = 106,649.40/x
  3. Step 3: Cross multiply
    187,238.76x = 258,369.96 × 106,649.40
  4. Step 4: Simplify right side
    187,238.76x = 27,555,001,212.02
  5. Step 5: Solve for x
    x = 27,555,001,212.02/187,238.76
  6. Step 6: Final answer
    x = 147,165.05

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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.