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Finding the Fourth Proportional to 187,842, 281,779.41 and 47,600.64

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Solution

The fourth proportional to 187,842, 281,779.41 and 47,600.64 is: 71,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,842 : 281,779.41 = 47,600.64 : x
  2. Step 2: Convert to fraction form
    187,842/281,779.41 = 47,600.64/x
  3. Step 3: Cross multiply
    187,842x = 281,779.41 × 47,600.64
  4. Step 4: Simplify right side
    187,842x = 13,412,880,254.82
  5. Step 5: Solve for x
    x = 13,412,880,254.82/187,842
  6. Step 6: Final answer
    x = 71,405.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.