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Finding the Fourth Proportional to 252,770.69, 348,809.28 and 138,026.50

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Solution

The fourth proportional to 252,770.69, 348,809.28 and 138,026.50 is: 190,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,770.69 : 348,809.28 = 138,026.50 : x
  2. Step 2: Convert to fraction form
    252,770.69/348,809.28 = 138,026.50/x
  3. Step 3: Cross multiply
    252,770.69x = 348,809.28 × 138,026.50
  4. Step 4: Simplify right side
    252,770.69x = 48,144,923,731.50
  5. Step 5: Solve for x
    x = 48,144,923,731.50/252,770.69
  6. Step 6: Final answer
    x = 190,468.77

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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.