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Finding the Fourth Proportional to 235,831.92, 325,419.84 and 138,962.40

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Solution

The fourth proportional to 235,831.92, 325,419.84 and 138,962.40 is: 191,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,831.92 : 325,419.84 = 138,962.40 : x
  2. Step 2: Convert to fraction form
    235,831.92/325,419.84 = 138,962.40/x
  3. Step 3: Cross multiply
    235,831.92x = 325,419.84 × 138,962.40
  4. Step 4: Simplify right side
    235,831.92x = 45,221,121,974.02
  5. Step 5: Solve for x
    x = 45,221,121,974.02/235,831.92
  6. Step 6: Final answer
    x = 191,751.49

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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.