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Finding the Fourth Proportional to 69,986.76, 105,022.62 and 28,432.68

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Solution

The fourth proportional to 69,986.76, 105,022.62 and 28,432.68 is: 42,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,986.76 : 105,022.62 = 28,432.68 : x
  2. Step 2: Convert to fraction form
    69,986.76/105,022.62 = 28,432.68/x
  3. Step 3: Cross multiply
    69,986.76x = 105,022.62 × 28,432.68
  4. Step 4: Simplify right side
    69,986.76x = 2,986,074,547.22
  5. Step 5: Solve for x
    x = 2,986,074,547.22/69,986.76
  6. Step 6: Final answer
    x = 42,666.28

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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.