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Finding the Fourth Proportional to 77,882.55, 107,477.77 and 42,072.45

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Solution

The fourth proportional to 77,882.55, 107,477.77 and 42,072.45 is: 58,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.55 : 107,477.77 = 42,072.45 : x
  2. Step 2: Convert to fraction form
    77,882.55/107,477.77 = 42,072.45/x
  3. Step 3: Cross multiply
    77,882.55x = 107,477.77 × 42,072.45
  4. Step 4: Simplify right side
    77,882.55x = 4,521,853,104.44
  5. Step 5: Solve for x
    x = 4,521,853,104.44/77,882.55
  6. Step 6: Final answer
    x = 58,059.90

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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.