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Finding the Fourth Proportional to 187,254, 258,411.44 and 102,371.06

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Solution

The fourth proportional to 187,254, 258,411.44 and 102,371.06 is: 141,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,254 : 258,411.44 = 102,371.06 : x
  2. Step 2: Convert to fraction form
    187,254/258,411.44 = 102,371.06/x
  3. Step 3: Cross multiply
    187,254x = 258,411.44 × 102,371.06
  4. Step 4: Simplify right side
    187,254x = 26,453,853,930.88
  5. Step 5: Solve for x
    x = 26,453,853,930.88/187,254
  6. Step 6: Final answer
    x = 141,272.57

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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.