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Finding the Fourth Proportional to 65,112.72, 97,668.07 and 20,739.10

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Solution

The fourth proportional to 65,112.72, 97,668.07 and 20,739.10 is: 31,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.72 : 97,668.07 = 20,739.10 : x
  2. Step 2: Convert to fraction form
    65,112.72/97,668.07 = 20,739.10/x
  3. Step 3: Cross multiply
    65,112.72x = 97,668.07 × 20,739.10
  4. Step 4: Simplify right side
    65,112.72x = 2,025,547,574.52
  5. Step 5: Solve for x
    x = 2,025,547,574.52/65,112.72
  6. Step 6: Final answer
    x = 31,108.32

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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.