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Finding the Fourth Proportional to 72,831.36, 109,267.56 and 65,891.28

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Solution

The fourth proportional to 72,831.36, 109,267.56 and 65,891.28 is: 98,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,831.36 : 109,267.56 = 65,891.28 : x
  2. Step 2: Convert to fraction form
    72,831.36/109,267.56 = 65,891.28/x
  3. Step 3: Cross multiply
    72,831.36x = 109,267.56 × 65,891.28
  4. Step 4: Simplify right side
    72,831.36x = 7,199,779,390.88
  5. Step 5: Solve for x
    x = 7,199,779,390.88/72,831.36
  6. Step 6: Final answer
    x = 98,855.48

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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.