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Finding the Fourth Proportional to 187,116, 258,225.54 and 102,238.53

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Solution

The fourth proportional to 187,116, 258,225.54 and 102,238.53 is: 141,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,116 : 258,225.54 = 102,238.53 : x
  2. Step 2: Convert to fraction form
    187,116/258,225.54 = 102,238.53/x
  3. Step 3: Cross multiply
    187,116x = 258,225.54 × 102,238.53
  4. Step 4: Simplify right side
    187,116x = 26,400,599,618.06
  5. Step 5: Solve for x
    x = 26,400,599,618.06/187,116
  6. Step 6: Final answer
    x = 141,092.15

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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.