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Finding the Fourth Proportional to 51,678.69, 71,315.69 and 29,017.86

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Solution

The fourth proportional to 51,678.69, 71,315.69 and 29,017.86 is: 40,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.69 : 71,315.69 = 29,017.86 : x
  2. Step 2: Convert to fraction form
    51,678.69/71,315.69 = 29,017.86/x
  3. Step 3: Cross multiply
    51,678.69x = 71,315.69 × 29,017.86
  4. Step 4: Simplify right side
    51,678.69x = 2,069,428,563.13
  5. Step 5: Solve for x
    x = 2,069,428,563.13/51,678.69
  6. Step 6: Final answer
    x = 40,044.14

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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.