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Finding the Fourth Proportional to 213,068.29, 319,519.38 and 79,875.88

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Solution

The fourth proportional to 213,068.29, 319,519.38 and 79,875.88 is: 119,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,068.29 : 319,519.38 = 79,875.88 : x
  2. Step 2: Convert to fraction form
    213,068.29/319,519.38 = 79,875.88/x
  3. Step 3: Cross multiply
    213,068.29x = 319,519.38 × 79,875.88
  4. Step 4: Simplify right side
    213,068.29x = 25,521,890,056.96
  5. Step 5: Solve for x
    x = 25,521,890,056.96/213,068.29
  6. Step 6: Final answer
    x = 119,782.68

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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.