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Finding the Fourth Proportional to 85,478.40, 128,216.40 and 38,731.20

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Solution

The fourth proportional to 85,478.40, 128,216.40 and 38,731.20 is: 58,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478.40 : 128,216.40 = 38,731.20 : x
  2. Step 2: Convert to fraction form
    85,478.40/128,216.40 = 38,731.20/x
  3. Step 3: Cross multiply
    85,478.40x = 128,216.40 × 38,731.20
  4. Step 4: Simplify right side
    85,478.40x = 4,965,975,031.68
  5. Step 5: Solve for x
    x = 4,965,975,031.68/85,478.40
  6. Step 6: Final answer
    x = 58,096.26

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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.