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Finding the Fourth Proportional to 99,757.63, 137,665.47 and 57,316.06

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Solution

The fourth proportional to 99,757.63, 137,665.47 and 57,316.06 is: 79,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757.63 : 137,665.47 = 57,316.06 : x
  2. Step 2: Convert to fraction form
    99,757.63/137,665.47 = 57,316.06/x
  3. Step 3: Cross multiply
    99,757.63x = 137,665.47 × 57,316.06
  4. Step 4: Simplify right side
    99,757.63x = 7,890,442,338.45
  5. Step 5: Solve for x
    x = 7,890,442,338.45/99,757.63
  6. Step 6: Final answer
    x = 79,096.13

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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.