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Finding the Fourth Proportional to 108,641.40, 162,978.30 and 38,515.20

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Solution

The fourth proportional to 108,641.40, 162,978.30 and 38,515.20 is: 57,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,641.40 : 162,978.30 = 38,515.20 : x
  2. Step 2: Convert to fraction form
    108,641.40/162,978.30 = 38,515.20/x
  3. Step 3: Cross multiply
    108,641.40x = 162,978.30 × 38,515.20
  4. Step 4: Simplify right side
    108,641.40x = 6,277,141,820.16
  5. Step 5: Solve for x
    x = 6,277,141,820.16/108,641.40
  6. Step 6: Final answer
    x = 57,778.54

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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.