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Finding the Fourth Proportional to 253,509.12, 349,842.12 and 140,331.87

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Solution

The fourth proportional to 253,509.12, 349,842.12 and 140,331.87 is: 193,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,509.12 : 349,842.12 = 140,331.87 : x
  2. Step 2: Convert to fraction form
    253,509.12/349,842.12 = 140,331.87/x
  3. Step 3: Cross multiply
    253,509.12x = 349,842.12 × 140,331.87
  4. Step 4: Simplify right side
    253,509.12x = 49,093,998,904.36
  5. Step 5: Solve for x
    x = 49,093,998,904.36/253,509.12
  6. Step 6: Final answer
    x = 193,657.72

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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.