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Finding the Fourth Proportional to 77,451.80, 106,951.64 and 48,429.91

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Solution

The fourth proportional to 77,451.80, 106,951.64 and 48,429.91 is: 66,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451.80 : 106,951.64 = 48,429.91 : x
  2. Step 2: Convert to fraction form
    77,451.80/106,951.64 = 48,429.91/x
  3. Step 3: Cross multiply
    77,451.80x = 106,951.64 × 48,429.91
  4. Step 4: Simplify right side
    77,451.80x = 5,179,657,998.12
  5. Step 5: Solve for x
    x = 5,179,657,998.12/77,451.80
  6. Step 6: Final answer
    x = 66,875.89

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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.