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Finding the Fourth Proportional to 149,781.86, 224,674.91 and 83,642.88

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Solution

The fourth proportional to 149,781.86, 224,674.91 and 83,642.88 is: 125,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,781.86 : 224,674.91 = 83,642.88 : x
  2. Step 2: Convert to fraction form
    149,781.86/224,674.91 = 83,642.88/x
  3. Step 3: Cross multiply
    149,781.86x = 224,674.91 × 83,642.88
  4. Step 4: Simplify right side
    149,781.86x = 18,792,456,480.81
  5. Step 5: Solve for x
    x = 18,792,456,480.81/149,781.86
  6. Step 6: Final answer
    x = 125,465.50

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1.5x scale

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.