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Finding the Fourth Proportional to 104,031.40, 155,783.10 and 57,231.40

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Solution

The fourth proportional to 104,031.40, 155,783.10 and 57,231.40 is: 85,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,031.40 : 155,783.10 = 57,231.40 : x
  2. Step 2: Convert to fraction form
    104,031.40/155,783.10 = 57,231.40/x
  3. Step 3: Cross multiply
    104,031.40x = 155,783.10 × 57,231.40
  4. Step 4: Simplify right side
    104,031.40x = 8,915,684,909.34
  5. Step 5: Solve for x
    x = 8,915,684,909.34/104,031.40
  6. Step 6: Final answer
    x = 85,701.86

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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.