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Finding the Fourth Proportional to 253,609.25, 349,978.26 and 137,322.17

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Solution

The fourth proportional to 253,609.25, 349,978.26 and 137,322.17 is: 189,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,609.25 : 349,978.26 = 137,322.17 : x
  2. Step 2: Convert to fraction form
    253,609.25/349,978.26 = 137,322.17/x
  3. Step 3: Cross multiply
    253,609.25x = 349,978.26 × 137,322.17
  4. Step 4: Simplify right side
    253,609.25x = 48,059,774,116.02
  5. Step 5: Solve for x
    x = 48,059,774,116.02/253,609.25
  6. Step 6: Final answer
    x = 189,503.24

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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.