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Finding the Fourth Proportional to 78,090.89, 107,764.97 and 42,280.14

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Solution

The fourth proportional to 78,090.89, 107,764.97 and 42,280.14 is: 58,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.89 : 107,764.97 = 42,280.14 : x
  2. Step 2: Convert to fraction form
    78,090.89/107,764.97 = 42,280.14/x
  3. Step 3: Cross multiply
    78,090.89x = 107,764.97 × 42,280.14
  4. Step 4: Simplify right side
    78,090.89x = 4,556,318,211.41
  5. Step 5: Solve for x
    x = 4,556,318,211.41/78,090.89
  6. Step 6: Final answer
    x = 58,346.35

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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.