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Finding the Fourth Proportional to 101,636, 140,257.68 and 56,924

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Solution

The fourth proportional to 101,636, 140,257.68 and 56,924 is: 78,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,636 : 140,257.68 = 56,924 : x
  2. Step 2: Convert to fraction form
    101,636/140,257.68 = 56,924/x
  3. Step 3: Cross multiply
    101,636x = 140,257.68 × 56,924
  4. Step 4: Simplify right side
    101,636x = 7,984,028,176.32
  5. Step 5: Solve for x
    x = 7,984,028,176.32/101,636
  6. Step 6: Final answer
    x = 78,555.12

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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.