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Finding the Fourth Proportional to 76,873.05, 105,927.35 and 56,697.98

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Solution

The fourth proportional to 76,873.05, 105,927.35 and 56,697.98 is: 78,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.05 : 105,927.35 = 56,697.98 : x
  2. Step 2: Convert to fraction form
    76,873.05/105,927.35 = 56,697.98/x
  3. Step 3: Cross multiply
    76,873.05x = 105,927.35 × 56,697.98
  4. Step 4: Simplify right side
    76,873.05x = 6,005,865,958.63
  5. Step 5: Solve for x
    x = 6,005,865,958.63/76,873.05
  6. Step 6: Final answer
    x = 78,127.07

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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.