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Finding the Fourth Proportional to 187,208.32, 258,348 and 111,755.20

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Solution

The fourth proportional to 187,208.32, 258,348 and 111,755.20 is: 154,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,208.32 : 258,348 = 111,755.20 : x
  2. Step 2: Convert to fraction form
    187,208.32/258,348 = 111,755.20/x
  3. Step 3: Cross multiply
    187,208.32x = 258,348 × 111,755.20
  4. Step 4: Simplify right side
    187,208.32x = 28,871,732,409.60
  5. Step 5: Solve for x
    x = 28,871,732,409.60/187,208.32
  6. Step 6: Final answer
    x = 154,222.49

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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.