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Finding the Fourth Proportional to 187,840, 281,776.40 and 47,598.63

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Solution

The fourth proportional to 187,840, 281,776.40 and 47,598.63 is: 71,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,840 : 281,776.40 = 47,598.63 : x
  2. Step 2: Convert to fraction form
    187,840/281,776.40 = 47,598.63/x
  3. Step 3: Cross multiply
    187,840x = 281,776.40 × 47,598.63
  4. Step 4: Simplify right side
    187,840x = 13,412,170,606.33
  5. Step 5: Solve for x
    x = 13,412,170,606.33/187,840
  6. Step 6: Final answer
    x = 71,402.10

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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.