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Finding the Fourth Proportional to 187,221, 258,366.06 and 120,153

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Solution

The fourth proportional to 187,221, 258,366.06 and 120,153 is: 165,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,221 : 258,366.06 = 120,153 : x
  2. Step 2: Convert to fraction form
    187,221/258,366.06 = 120,153/x
  3. Step 3: Cross multiply
    187,221x = 258,366.06 × 120,153
  4. Step 4: Simplify right side
    187,221x = 31,043,457,207.18
  5. Step 5: Solve for x
    x = 31,043,457,207.18/187,221
  6. Step 6: Final answer
    x = 165,811.83

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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.