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Finding the Fourth Proportional to 205,532, 308,360.16 and 145,676.24

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Solution

The fourth proportional to 205,532, 308,360.16 and 145,676.24 is: 218,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532 : 308,360.16 = 145,676.24 : x
  2. Step 2: Convert to fraction form
    205,532/308,360.16 = 145,676.24/x
  3. Step 3: Cross multiply
    205,532x = 308,360.16 × 145,676.24
  4. Step 4: Simplify right side
    205,532x = 44,920,748,674.60
  5. Step 5: Solve for x
    x = 44,920,748,674.60/205,532
  6. Step 6: Final answer
    x = 218,558.42

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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.