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Finding the Fourth Proportional to 98,543.25, 135,990.23 and 53,831.25

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Solution

The fourth proportional to 98,543.25, 135,990.23 and 53,831.25 is: 74,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.25 : 135,990.23 = 53,831.25 : x
  2. Step 2: Convert to fraction form
    98,543.25/135,990.23 = 53,831.25/x
  3. Step 3: Cross multiply
    98,543.25x = 135,990.23 × 53,831.25
  4. Step 4: Simplify right side
    98,543.25x = 7,320,523,799.53
  5. Step 5: Solve for x
    x = 7,320,523,799.53/98,543.25
  6. Step 6: Final answer
    x = 74,287.42

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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.