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Finding the Fourth Proportional to 187,361.70, 258,565.26 and 102,478.76

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Solution

The fourth proportional to 187,361.70, 258,565.26 and 102,478.76 is: 141,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,361.70 : 258,565.26 = 102,478.76 : x
  2. Step 2: Convert to fraction form
    187,361.70/258,565.26 = 102,478.76/x
  3. Step 3: Cross multiply
    187,361.70x = 258,565.26 × 102,478.76
  4. Step 4: Simplify right side
    187,361.70x = 26,497,447,223.88
  5. Step 5: Solve for x
    x = 26,497,447,223.88/187,361.70
  6. Step 6: Final answer
    x = 141,424.03

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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.