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Finding the Fourth Proportional to 212,970.29, 318,986.09 and 176,035.90

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Solution

The fourth proportional to 212,970.29, 318,986.09 and 176,035.90 is: 263,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,970.29 : 318,986.09 = 176,035.90 : x
  2. Step 2: Convert to fraction form
    212,970.29/318,986.09 = 176,035.90/x
  3. Step 3: Cross multiply
    212,970.29x = 318,986.09 × 176,035.90
  4. Step 4: Simplify right side
    212,970.29x = 56,153,003,516.32
  5. Step 5: Solve for x
    x = 56,153,003,516.32/212,970.29
  6. Step 6: Final answer
    x = 263,665.90

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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.