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Finding the Fourth Proportional to 187,114, 258,144.02 and 115,369.48

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Solution

The fourth proportional to 187,114, 258,144.02 and 115,369.48 is: 159,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,114 : 258,144.02 = 115,369.48 : x
  2. Step 2: Convert to fraction form
    187,114/258,144.02 = 115,369.48/x
  3. Step 3: Cross multiply
    187,114x = 258,144.02 × 115,369.48
  4. Step 4: Simplify right side
    187,114x = 29,781,941,352.51
  5. Step 5: Solve for x
    x = 29,781,941,352.51/187,114
  6. Step 6: Final answer
    x = 159,164.69

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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.