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Finding the Fourth Proportional to 77,882.85, 116,740.85 and 55,628.71

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Solution

The fourth proportional to 77,882.85, 116,740.85 and 55,628.71 is: 83,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.85 : 116,740.85 = 55,628.71 : x
  2. Step 2: Convert to fraction form
    77,882.85/116,740.85 = 55,628.71/x
  3. Step 3: Cross multiply
    77,882.85x = 116,740.85 × 55,628.71
  4. Step 4: Simplify right side
    77,882.85x = 6,494,142,319.81
  5. Step 5: Solve for x
    x = 6,494,142,319.81/77,882.85
  6. Step 6: Final answer
    x = 83,383.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.