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Finding the Fourth Proportional to 97,087.86, 134,022.54 and 65,275.20

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Solution

The fourth proportional to 97,087.86, 134,022.54 and 65,275.20 is: 90,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,087.86 : 134,022.54 = 65,275.20 : x
  2. Step 2: Convert to fraction form
    97,087.86/134,022.54 = 65,275.20/x
  3. Step 3: Cross multiply
    97,087.86x = 134,022.54 × 65,275.20
  4. Step 4: Simplify right side
    97,087.86x = 8,748,348,103.01
  5. Step 5: Solve for x
    x = 8,748,348,103.01/97,087.86
  6. Step 6: Final answer
    x = 90,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.