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Finding the Fourth Proportional to 78,157.68, 107,770.38 and 56,604.80

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Solution

The fourth proportional to 78,157.68, 107,770.38 and 56,604.80 is: 78,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.68 : 107,770.38 = 56,604.80 : x
  2. Step 2: Convert to fraction form
    78,157.68/107,770.38 = 56,604.80/x
  3. Step 3: Cross multiply
    78,157.68x = 107,770.38 × 56,604.80
  4. Step 4: Simplify right side
    78,157.68x = 6,100,320,805.82
  5. Step 5: Solve for x
    x = 6,100,320,805.82/78,157.68
  6. Step 6: Final answer
    x = 78,051.46

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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.