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Finding the Fourth Proportional to 78,090.36, 107,764.54 and 42,280.40

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Solution

The fourth proportional to 78,090.36, 107,764.54 and 42,280.40 is: 58,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090.36 : 107,764.54 = 42,280.40 : x
  2. Step 2: Convert to fraction form
    78,090.36/107,764.54 = 42,280.40/x
  3. Step 3: Cross multiply
    78,090.36x = 107,764.54 × 42,280.40
  4. Step 4: Simplify right side
    78,090.36x = 4,556,327,857.02
  5. Step 5: Solve for x
    x = 4,556,327,857.02/78,090.36
  6. Step 6: Final answer
    x = 58,346.87

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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.