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Finding the Fourth Proportional to 76,677.80, 105,807.94 and 56,545.52

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Solution

The fourth proportional to 76,677.80, 105,807.94 and 56,545.52 is: 78,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.80 : 105,807.94 = 56,545.52 : x
  2. Step 2: Convert to fraction form
    76,677.80/105,807.94 = 56,545.52/x
  3. Step 3: Cross multiply
    76,677.80x = 105,807.94 × 56,545.52
  4. Step 4: Simplify right side
    76,677.80x = 5,982,964,317.03
  5. Step 5: Solve for x
    x = 5,982,964,317.03/76,677.80
  6. Step 6: Final answer
    x = 78,027.34

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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.