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Finding the Fourth Proportional to 102,440, 153,685.92 and 28,568

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Solution

The fourth proportional to 102,440, 153,685.92 and 28,568 is: 42,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,440 : 153,685.92 = 28,568 : x
  2. Step 2: Convert to fraction form
    102,440/153,685.92 = 28,568/x
  3. Step 3: Cross multiply
    102,440x = 153,685.92 × 28,568
  4. Step 4: Simplify right side
    102,440x = 4,390,499,362.56
  5. Step 5: Solve for x
    x = 4,390,499,362.56/102,440
  6. Step 6: Final answer
    x = 42,859.23

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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.