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Finding the Fourth Proportional to 102,457.28, 153,668.64 and 28,568

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Solution

The fourth proportional to 102,457.28, 153,668.64 and 28,568 is: 42,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.28 : 153,668.64 = 28,568 : x
  2. Step 2: Convert to fraction form
    102,457.28/153,668.64 = 28,568/x
  3. Step 3: Cross multiply
    102,457.28x = 153,668.64 × 28,568
  4. Step 4: Simplify right side
    102,457.28x = 4,390,005,707.52
  5. Step 5: Solve for x
    x = 4,390,005,707.52/102,457.28
  6. Step 6: Final answer
    x = 42,847.18

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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.