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Finding the Fourth Proportional to 187,092, 258,192.63 and 102,214.53

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Solution

The fourth proportional to 187,092, 258,192.63 and 102,214.53 is: 141,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,092 : 258,192.63 = 102,214.53 : x
  2. Step 2: Convert to fraction form
    187,092/258,192.63 = 102,214.53/x
  3. Step 3: Cross multiply
    187,092x = 258,192.63 × 102,214.53
  4. Step 4: Simplify right side
    187,092x = 26,391,038,324.91
  5. Step 5: Solve for x
    x = 26,391,038,324.91/187,092
  6. Step 6: Final answer
    x = 141,059.15

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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.