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Finding the Fourth Proportional to 38,143.84, 57,216.08 and 15,666.88

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Solution

The fourth proportional to 38,143.84, 57,216.08 and 15,666.88 is: 23,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,143.84 : 57,216.08 = 15,666.88 : x
  2. Step 2: Convert to fraction form
    38,143.84/57,216.08 = 15,666.88/x
  3. Step 3: Cross multiply
    38,143.84x = 57,216.08 × 15,666.88
  4. Step 4: Simplify right side
    38,143.84x = 896,397,459.43
  5. Step 5: Solve for x
    x = 896,397,459.43/38,143.84
  6. Step 6: Final answer
    x = 23,500.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.