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Finding the Fourth Proportional to 97,078.21, 145,638.09 and 54,978.19

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Solution

The fourth proportional to 97,078.21, 145,638.09 and 54,978.19 is: 82,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078.21 : 145,638.09 = 54,978.19 : x
  2. Step 2: Convert to fraction form
    97,078.21/145,638.09 = 54,978.19/x
  3. Step 3: Cross multiply
    97,078.21x = 145,638.09 × 54,978.19
  4. Step 4: Simplify right side
    97,078.21x = 8,006,918,583.26
  5. Step 5: Solve for x
    x = 8,006,918,583.26/97,078.21
  6. Step 6: Final answer
    x = 82,479.05

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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.