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Finding the Fourth Proportional to 102,680.81, 141,699.53 and 57,968.81

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Solution

The fourth proportional to 102,680.81, 141,699.53 and 57,968.81 is: 79,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.81 : 141,699.53 = 57,968.81 : x
  2. Step 2: Convert to fraction form
    102,680.81/141,699.53 = 57,968.81/x
  3. Step 3: Cross multiply
    102,680.81x = 141,699.53 × 57,968.81
  4. Step 4: Simplify right side
    102,680.81x = 8,214,153,196.06
  5. Step 5: Solve for x
    x = 8,214,153,196.06/102,680.81
  6. Step 6: Final answer
    x = 79,996.96

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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.