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Finding the Fourth Proportional to 253,419.76, 349,719.69 and 140,242.51

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Solution

The fourth proportional to 253,419.76, 349,719.69 and 140,242.51 is: 193,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,419.76 : 349,719.69 = 140,242.51 : x
  2. Step 2: Convert to fraction form
    253,419.76/349,719.69 = 140,242.51/x
  3. Step 3: Cross multiply
    253,419.76x = 349,719.69 × 140,242.51
  4. Step 4: Simplify right side
    253,419.76x = 49,045,567,122.02
  5. Step 5: Solve for x
    x = 49,045,567,122.02/253,419.76
  6. Step 6: Final answer
    x = 193,534.90

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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.