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Finding the Fourth Proportional to 77,882.06, 107,477.28 and 42,072.06

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Solution

The fourth proportional to 77,882.06, 107,477.28 and 42,072.06 is: 58,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.06 : 107,477.28 = 42,072.06 : x
  2. Step 2: Convert to fraction form
    77,882.06/107,477.28 = 42,072.06/x
  3. Step 3: Cross multiply
    77,882.06x = 107,477.28 × 42,072.06
  4. Step 4: Simplify right side
    77,882.06x = 4,521,790,572.80
  5. Step 5: Solve for x
    x = 4,521,790,572.80/77,882.06
  6. Step 6: Final answer
    x = 58,059.46

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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.