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Finding the Fourth Proportional to 219,472, 302,871.36 and 118,870

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Solution

The fourth proportional to 219,472, 302,871.36 and 118,870 is: 164,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,472 : 302,871.36 = 118,870 : x
  2. Step 2: Convert to fraction form
    219,472/302,871.36 = 118,870/x
  3. Step 3: Cross multiply
    219,472x = 302,871.36 × 118,870
  4. Step 4: Simplify right side
    219,472x = 36,002,318,563.20
  5. Step 5: Solve for x
    x = 36,002,318,563.20/219,472
  6. Step 6: Final answer
    x = 164,040.60

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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.