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Finding the Fourth Proportional to 77,882.68, 107,478.03 and 42,072.67

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Solution

The fourth proportional to 77,882.68, 107,478.03 and 42,072.67 is: 58,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.68 : 107,478.03 = 42,072.67 : x
  2. Step 2: Convert to fraction form
    77,882.68/107,478.03 = 42,072.67/x
  3. Step 3: Cross multiply
    77,882.68x = 107,478.03 × 42,072.67
  4. Step 4: Simplify right side
    77,882.68x = 4,521,887,688.44
  5. Step 5: Solve for x
    x = 4,521,887,688.44/77,882.68
  6. Step 6: Final answer
    x = 58,060.25

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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.