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Finding the Fourth Proportional to 101,780.86, 140,459.84 and 56,457.37

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Solution

The fourth proportional to 101,780.86, 140,459.84 and 56,457.37 is: 77,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.86 : 140,459.84 = 56,457.37 : x
  2. Step 2: Convert to fraction form
    101,780.86/140,459.84 = 56,457.37/x
  3. Step 3: Cross multiply
    101,780.86x = 140,459.84 × 56,457.37
  4. Step 4: Simplify right side
    101,780.86x = 7,929,992,172.43
  5. Step 5: Solve for x
    x = 7,929,992,172.43/101,780.86
  6. Step 6: Final answer
    x = 77,912.41

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1.5x scale

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.