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Finding the Fourth Proportional to 187,490.48, 258,659.88 and 137,102

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Solution

The fourth proportional to 187,490.48, 258,659.88 and 137,102 is: 189,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,490.48 : 258,659.88 = 137,102 : x
  2. Step 2: Convert to fraction form
    187,490.48/258,659.88 = 137,102/x
  3. Step 3: Cross multiply
    187,490.48x = 258,659.88 × 137,102
  4. Step 4: Simplify right side
    187,490.48x = 35,462,786,867.76
  5. Step 5: Solve for x
    x = 35,462,786,867.76/187,490.48
  6. Step 6: Final answer
    x = 189,144.47

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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.