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Finding the Fourth Proportional to 57,978.16, 86,967.84 and 18,534.40

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Solution

The fourth proportional to 57,978.16, 86,967.84 and 18,534.40 is: 27,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.16 : 86,967.84 = 18,534.40 : x
  2. Step 2: Convert to fraction form
    57,978.16/86,967.84 = 18,534.40/x
  3. Step 3: Cross multiply
    57,978.16x = 86,967.84 × 18,534.40
  4. Step 4: Simplify right side
    57,978.16x = 1,611,896,733.70
  5. Step 5: Solve for x
    x = 1,611,896,733.70/57,978.16
  6. Step 6: Final answer
    x = 27,801.79

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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.