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Finding the Fourth Proportional to 78,157.00, 107,855.96 and 42,346.90

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Solution

The fourth proportional to 78,157.00, 107,855.96 and 42,346.90 is: 58,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.00 : 107,855.96 = 42,346.90 : x
  2. Step 2: Convert to fraction form
    78,157.00/107,855.96 = 42,346.90/x
  3. Step 3: Cross multiply
    78,157.00x = 107,855.96 × 42,346.90
  4. Step 4: Simplify right side
    78,157.00x = 4,567,365,475.61
  5. Step 5: Solve for x
    x = 4,567,365,475.61/78,157.00
  6. Step 6: Final answer
    x = 58,438.34

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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.