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Finding the Fourth Proportional to 187,665.84, 258,969.18 and 102,766.50

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Solution

The fourth proportional to 187,665.84, 258,969.18 and 102,766.50 is: 141,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,665.84 : 258,969.18 = 102,766.50 : x
  2. Step 2: Convert to fraction form
    187,665.84/258,969.18 = 102,766.50/x
  3. Step 3: Cross multiply
    187,665.84x = 258,969.18 × 102,766.50
  4. Step 4: Simplify right side
    187,665.84x = 26,613,356,236.47
  5. Step 5: Solve for x
    x = 26,613,356,236.47/187,665.84
  6. Step 6: Final answer
    x = 141,812.47

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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.