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Finding the Fourth Proportional to 218,807.60, 328,081.80 and 113,831.60

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Solution

The fourth proportional to 218,807.60, 328,081.80 and 113,831.60 is: 170,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,807.60 : 328,081.80 = 113,831.60 : x
  2. Step 2: Convert to fraction form
    218,807.60/328,081.80 = 113,831.60/x
  3. Step 3: Cross multiply
    218,807.60x = 328,081.80 × 113,831.60
  4. Step 4: Simplify right side
    218,807.60x = 37,346,076,224.88
  5. Step 5: Solve for x
    x = 37,346,076,224.88/218,807.60
  6. Step 6: Final answer
    x = 170,679.98

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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.