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Finding the Fourth Proportional to 98,543.06, 135,989.43 and 53,831.06

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Solution

The fourth proportional to 98,543.06, 135,989.43 and 53,831.06 is: 74,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.06 : 135,989.43 = 53,831.06 : x
  2. Step 2: Convert to fraction form
    98,543.06/135,989.43 = 53,831.06/x
  3. Step 3: Cross multiply
    98,543.06x = 135,989.43 × 53,831.06
  4. Step 4: Simplify right side
    98,543.06x = 7,320,455,165.70
  5. Step 5: Solve for x
    x = 7,320,455,165.70/98,543.06
  6. Step 6: Final answer
    x = 74,286.87

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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.