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Finding the Fourth Proportional to 97,147, 145,720.80 and 27,026.40

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Solution

The fourth proportional to 97,147, 145,720.80 and 27,026.40 is: 40,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147 : 145,720.80 = 27,026.40 : x
  2. Step 2: Convert to fraction form
    97,147/145,720.80 = 27,026.40/x
  3. Step 3: Cross multiply
    97,147x = 145,720.80 × 27,026.40
  4. Step 4: Simplify right side
    97,147x = 3,938,308,629.12
  5. Step 5: Solve for x
    x = 3,938,308,629.12/97,147
  6. Step 6: Final answer
    x = 40,539.68

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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.