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Finding the Fourth Proportional to 69,983.76, 105,018.12 and 28,429.68

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Solution

The fourth proportional to 69,983.76, 105,018.12 and 28,429.68 is: 42,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,983.76 : 105,018.12 = 28,429.68 : x
  2. Step 2: Convert to fraction form
    69,983.76/105,018.12 = 28,429.68/x
  3. Step 3: Cross multiply
    69,983.76x = 105,018.12 × 28,429.68
  4. Step 4: Simplify right side
    69,983.76x = 2,985,631,545.80
  5. Step 5: Solve for x
    x = 2,985,631,545.80/69,983.76
  6. Step 6: Final answer
    x = 42,661.78

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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.