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Finding the Fourth Proportional to 187,395.50, 258,606.60 and 102,513.98

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Solution

The fourth proportional to 187,395.50, 258,606.60 and 102,513.98 is: 141,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,395.50 : 258,606.60 = 102,513.98 : x
  2. Step 2: Convert to fraction form
    187,395.50/258,606.60 = 102,513.98/x
  3. Step 3: Cross multiply
    187,395.50x = 258,606.60 × 102,513.98
  4. Step 4: Simplify right side
    187,395.50x = 26,510,791,820.27
  5. Step 5: Solve for x
    x = 26,510,791,820.27/187,395.50
  6. Step 6: Final answer
    x = 141,469.74

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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.