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Finding the Fourth Proportional to 174,212.80, 261,319.20 and 139,220.80

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Solution

The fourth proportional to 174,212.80, 261,319.20 and 139,220.80 is: 208,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,212.80 : 261,319.20 = 139,220.80 : x
  2. Step 2: Convert to fraction form
    174,212.80/261,319.20 = 139,220.80/x
  3. Step 3: Cross multiply
    174,212.80x = 261,319.20 × 139,220.80
  4. Step 4: Simplify right side
    174,212.80x = 36,381,068,079.36
  5. Step 5: Solve for x
    x = 36,381,068,079.36/174,212.80
  6. Step 6: Final answer
    x = 208,831.20

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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.