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Finding the Fourth Proportional to 187,365, 281,026.80 and 47,123.68

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Solution

The fourth proportional to 187,365, 281,026.80 and 47,123.68 is: 70,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,365 : 281,026.80 = 47,123.68 : x
  2. Step 2: Convert to fraction form
    187,365/281,026.80 = 47,123.68/x
  3. Step 3: Cross multiply
    187,365x = 281,026.80 × 47,123.68
  4. Step 4: Simplify right side
    187,365x = 13,243,016,994.62
  5. Step 5: Solve for x
    x = 13,243,016,994.62/187,365
  6. Step 6: Final answer
    x = 70,680.31

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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.