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Finding the Fourth Proportional to 57,978.80, 86,968.20 and 16,426.16

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Solution

The fourth proportional to 57,978.80, 86,968.20 and 16,426.16 is: 24,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.80 : 86,968.20 = 16,426.16 : x
  2. Step 2: Convert to fraction form
    57,978.80/86,968.20 = 16,426.16/x
  3. Step 3: Cross multiply
    57,978.80x = 86,968.20 × 16,426.16
  4. Step 4: Simplify right side
    57,978.80x = 1,428,553,568.11
  5. Step 5: Solve for x
    x = 1,428,553,568.11/57,978.80
  6. Step 6: Final answer
    x = 24,639.24

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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.