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Finding the Fourth Proportional to 187,470.81, 258,709.73 and 102,587.88

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Solution

The fourth proportional to 187,470.81, 258,709.73 and 102,587.88 is: 141,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,470.81 : 258,709.73 = 102,587.88 : x
  2. Step 2: Convert to fraction form
    187,470.81/258,709.73 = 102,587.88/x
  3. Step 3: Cross multiply
    187,470.81x = 258,709.73 × 102,587.88
  4. Step 4: Simplify right side
    187,470.81x = 26,540,482,736.07
  5. Step 5: Solve for x
    x = 26,540,482,736.07/187,470.81
  6. Step 6: Final answer
    x = 141,571.28

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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.