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Finding the Fourth Proportional to 210,942.40, 316,363.73 and 77,750.32

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Solution

The fourth proportional to 210,942.40, 316,363.73 and 77,750.32 is: 116,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,942.40 : 316,363.73 = 77,750.32 : x
  2. Step 2: Convert to fraction form
    210,942.40/316,363.73 = 77,750.32/x
  3. Step 3: Cross multiply
    210,942.40x = 316,363.73 × 77,750.32
  4. Step 4: Simplify right side
    210,942.40x = 24,597,379,662.08
  5. Step 5: Solve for x
    x = 24,597,379,662.08/210,942.40
  6. Step 6: Final answer
    x = 116,607.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.