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Finding the Fourth Proportional to 78,060.14, 107,723.32 and 42,250.14

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Solution

The fourth proportional to 78,060.14, 107,723.32 and 42,250.14 is: 58,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,060.14 : 107,723.32 = 42,250.14 : x
  2. Step 2: Convert to fraction form
    78,060.14/107,723.32 = 42,250.14/x
  3. Step 3: Cross multiply
    78,060.14x = 107,723.32 × 42,250.14
  4. Step 4: Simplify right side
    78,060.14x = 4,551,325,245.64
  5. Step 5: Solve for x
    x = 4,551,325,245.64/78,060.14
  6. Step 6: Final answer
    x = 58,305.37

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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.