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Finding the Fourth Proportional to 102,617.34, 141,609.87 and 57,905.34

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Solution

The fourth proportional to 102,617.34, 141,609.87 and 57,905.34 is: 79,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.34 : 141,609.87 = 57,905.34 : x
  2. Step 2: Convert to fraction form
    102,617.34/141,609.87 = 57,905.34/x
  3. Step 3: Cross multiply
    102,617.34x = 141,609.87 × 57,905.34
  4. Step 4: Simplify right side
    102,617.34x = 8,199,967,669.71
  5. Step 5: Solve for x
    x = 8,199,967,669.71/102,617.34
  6. Step 6: Final answer
    x = 79,908.21

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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.