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Finding the Fourth Proportional to 229,894.86, 345,039.12 and 130,153.08

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Solution

The fourth proportional to 229,894.86, 345,039.12 and 130,153.08 is: 195,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,894.86 : 345,039.12 = 130,153.08 : x
  2. Step 2: Convert to fraction form
    229,894.86/345,039.12 = 130,153.08/x
  3. Step 3: Cross multiply
    229,894.86x = 345,039.12 × 130,153.08
  4. Step 4: Simplify right side
    229,894.86x = 44,907,904,188.49
  5. Step 5: Solve for x
    x = 44,907,904,188.49/229,894.86
  6. Step 6: Final answer
    x = 195,341.05

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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.