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Finding the Fourth Proportional to 228,135.12, 314,678.16 and 146,333.88

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Solution

The fourth proportional to 228,135.12, 314,678.16 and 146,333.88 is: 201,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,135.12 : 314,678.16 = 146,333.88 : x
  2. Step 2: Convert to fraction form
    228,135.12/314,678.16 = 146,333.88/x
  3. Step 3: Cross multiply
    228,135.12x = 314,678.16 × 146,333.88
  4. Step 4: Simplify right side
    228,135.12x = 46,048,076,104.06
  5. Step 5: Solve for x
    x = 46,048,076,104.06/228,135.12
  6. Step 6: Final answer
    x = 201,845.63

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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.