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Finding the Fourth Proportional to 253,605.74, 349,971.64 and 140,426.06

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Solution

The fourth proportional to 253,605.74, 349,971.64 and 140,426.06 is: 193,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,605.74 : 349,971.64 = 140,426.06 : x
  2. Step 2: Convert to fraction form
    253,605.74/349,971.64 = 140,426.06/x
  3. Step 3: Cross multiply
    253,605.74x = 349,971.64 × 140,426.06
  4. Step 4: Simplify right side
    253,605.74x = 49,145,136,416.02
  5. Step 5: Solve for x
    x = 49,145,136,416.02/253,605.74
  6. Step 6: Final answer
    x = 193,785.59

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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.