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Finding the Fourth Proportional to 76,888.80, 105,949.08 and 56,713.77

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Solution

The fourth proportional to 76,888.80, 105,949.08 and 56,713.77 is: 78,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888.80 : 105,949.08 = 56,713.77 : x
  2. Step 2: Convert to fraction form
    76,888.80/105,949.08 = 56,713.77/x
  3. Step 3: Cross multiply
    76,888.80x = 105,949.08 × 56,713.77
  4. Step 4: Simplify right side
    76,888.80x = 6,008,771,754.83
  5. Step 5: Solve for x
    x = 6,008,771,754.83/76,888.80
  6. Step 6: Final answer
    x = 78,148.86

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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.