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Finding the Fourth Proportional to 77,967.92, 107,595.80 and 42,157.92

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Solution

The fourth proportional to 77,967.92, 107,595.80 and 42,157.92 is: 58,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.92 : 107,595.80 = 42,157.92 : x
  2. Step 2: Convert to fraction form
    77,967.92/107,595.80 = 42,157.92/x
  3. Step 3: Cross multiply
    77,967.92x = 107,595.80 × 42,157.92
  4. Step 4: Simplify right side
    77,967.92x = 4,536,014,992.87
  5. Step 5: Solve for x
    x = 4,536,014,992.87/77,967.92
  6. Step 6: Final answer
    x = 58,177.97

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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.