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Finding the Fourth Proportional to 77,178.44, 106,472.43 and 45,332.97

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Solution

The fourth proportional to 77,178.44, 106,472.43 and 45,332.97 is: 62,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,178.44 : 106,472.43 = 45,332.97 : x
  2. Step 2: Convert to fraction form
    77,178.44/106,472.43 = 45,332.97/x
  3. Step 3: Cross multiply
    77,178.44x = 106,472.43 × 45,332.97
  4. Step 4: Simplify right side
    77,178.44x = 4,826,711,475.02
  5. Step 5: Solve for x
    x = 4,826,711,475.02/77,178.44
  6. Step 6: Final answer
    x = 62,539.64

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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.