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Finding the Fourth Proportional to 55,407.08, 82,978.17 and 31,962.44

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Solution

The fourth proportional to 55,407.08, 82,978.17 and 31,962.44 is: 47,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,407.08 : 82,978.17 = 31,962.44 : x
  2. Step 2: Convert to fraction form
    55,407.08/82,978.17 = 31,962.44/x
  3. Step 3: Cross multiply
    55,407.08x = 82,978.17 × 31,962.44
  4. Step 4: Simplify right side
    55,407.08x = 2,652,184,779.93
  5. Step 5: Solve for x
    x = 2,652,184,779.93/55,407.08
  6. Step 6: Final answer
    x = 47,867.25

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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.