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Finding the Fourth Proportional to 101,769.90, 140,459.28 and 56,462.47

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Solution

The fourth proportional to 101,769.90, 140,459.28 and 56,462.47 is: 77,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.90 : 140,459.28 = 56,462.47 : x
  2. Step 2: Convert to fraction form
    101,769.90/140,459.28 = 56,462.47/x
  3. Step 3: Cross multiply
    101,769.90x = 140,459.28 × 56,462.47
  4. Step 4: Simplify right side
    101,769.90x = 7,930,678,288.58
  5. Step 5: Solve for x
    x = 7,930,678,288.58/101,769.90
  6. Step 6: Final answer
    x = 77,927.54

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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.