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Finding the Fourth Proportional to 253,185.34, 349,430.31 and 145,752.70

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Solution

The fourth proportional to 253,185.34, 349,430.31 and 145,752.70 is: 201,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,185.34 : 349,430.31 = 145,752.70 : x
  2. Step 2: Convert to fraction form
    253,185.34/349,430.31 = 145,752.70/x
  3. Step 3: Cross multiply
    253,185.34x = 349,430.31 × 145,752.70
  4. Step 4: Simplify right side
    253,185.34x = 50,930,411,144.34
  5. Step 5: Solve for x
    x = 50,930,411,144.34/253,185.34
  6. Step 6: Final answer
    x = 201,158.61

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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.