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Finding the Fourth Proportional to 187,883.64, 258,984.90 and 142,379.46

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Solution

The fourth proportional to 187,883.64, 258,984.90 and 142,379.46 is: 196,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,883.64 : 258,984.90 = 142,379.46 : x
  2. Step 2: Convert to fraction form
    187,883.64/258,984.90 = 142,379.46/x
  3. Step 3: Cross multiply
    187,883.64x = 258,984.90 × 142,379.46
  4. Step 4: Simplify right side
    187,883.64x = 36,874,130,210.15
  5. Step 5: Solve for x
    x = 36,874,130,210.15/187,883.64
  6. Step 6: Final answer
    x = 196,260.46

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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.