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Finding the Fourth Proportional to 42,803.60, 64,193.88 and 15,098

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Solution

The fourth proportional to 42,803.60, 64,193.88 and 15,098 is: 22,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,803.60 : 64,193.88 = 15,098 : x
  2. Step 2: Convert to fraction form
    42,803.60/64,193.88 = 15,098/x
  3. Step 3: Cross multiply
    42,803.60x = 64,193.88 × 15,098
  4. Step 4: Simplify right side
    42,803.60x = 969,199,200.24
  5. Step 5: Solve for x
    x = 969,199,200.24/42,803.60
  6. Step 6: Final answer
    x = 22,642.94

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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.