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Finding the Fourth Proportional to 100,506.69, 138,689.42 and 58,064.31

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Solution

The fourth proportional to 100,506.69, 138,689.42 and 58,064.31 is: 80,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.69 : 138,689.42 = 58,064.31 : x
  2. Step 2: Convert to fraction form
    100,506.69/138,689.42 = 58,064.31/x
  3. Step 3: Cross multiply
    100,506.69x = 138,689.42 × 58,064.31
  4. Step 4: Simplify right side
    100,506.69x = 8,052,905,186.28
  5. Step 5: Solve for x
    x = 8,052,905,186.28/100,506.69
  6. Step 6: Final answer
    x = 80,123.08

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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.