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Finding the Fourth Proportional to 92,548.71, 138,823.02 and 30,219.21

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Solution

The fourth proportional to 92,548.71, 138,823.02 and 30,219.21 is: 45,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,548.71 : 138,823.02 = 30,219.21 : x
  2. Step 2: Convert to fraction form
    92,548.71/138,823.02 = 30,219.21/x
  3. Step 3: Cross multiply
    92,548.71x = 138,823.02 × 30,219.21
  4. Step 4: Simplify right side
    92,548.71x = 4,195,121,994.21
  5. Step 5: Solve for x
    x = 4,195,121,994.21/92,548.71
  6. Step 6: Final answer
    x = 45,328.80

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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.