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Finding the Fourth Proportional to 83,120.47, 114,831.35 and 54,508.03

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Solution

The fourth proportional to 83,120.47, 114,831.35 and 54,508.03 is: 75,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,120.47 : 114,831.35 = 54,508.03 : x
  2. Step 2: Convert to fraction form
    83,120.47/114,831.35 = 54,508.03/x
  3. Step 3: Cross multiply
    83,120.47x = 114,831.35 × 54,508.03
  4. Step 4: Simplify right side
    83,120.47x = 6,259,230,670.74
  5. Step 5: Solve for x
    x = 6,259,230,670.74/83,120.47
  6. Step 6: Final answer
    x = 75,303.12

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