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Finding the Fourth Proportional to 105,072.66, 145,743.17 and 101,289.96

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Solution

The fourth proportional to 105,072.66, 145,743.17 and 101,289.96 is: 140,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.66 : 145,743.17 = 101,289.96 : x
  2. Step 2: Convert to fraction form
    105,072.66/145,743.17 = 101,289.96/x
  3. Step 3: Cross multiply
    105,072.66x = 145,743.17 × 101,289.96
  4. Step 4: Simplify right side
    105,072.66x = 14,762,319,353.12
  5. Step 5: Solve for x
    x = 14,762,319,353.12/105,072.66
  6. Step 6: Final answer
    x = 140,496.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.