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Finding the Fourth Proportional to 252,901.69, 349,000.25 and 138,177.88

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Solution

The fourth proportional to 252,901.69, 349,000.25 and 138,177.88 is: 190,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,901.69 : 349,000.25 = 138,177.88 : x
  2. Step 2: Convert to fraction form
    252,901.69/349,000.25 = 138,177.88/x
  3. Step 3: Cross multiply
    252,901.69x = 349,000.25 × 138,177.88
  4. Step 4: Simplify right side
    252,901.69x = 48,224,113,973.58
  5. Step 5: Solve for x
    x = 48,224,113,973.58/252,901.69
  6. Step 6: Final answer
    x = 190,683.24

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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.