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Finding the Fourth Proportional to 253,047.36, 349,240.08 and 145,615.20

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Solution

The fourth proportional to 253,047.36, 349,240.08 and 145,615.20 is: 200,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,047.36 : 349,240.08 = 145,615.20 : x
  2. Step 2: Convert to fraction form
    253,047.36/349,240.08 = 145,615.20/x
  3. Step 3: Cross multiply
    253,047.36x = 349,240.08 × 145,615.20
  4. Step 4: Simplify right side
    253,047.36x = 50,854,664,097.22
  5. Step 5: Solve for x
    x = 50,854,664,097.22/253,047.36
  6. Step 6: Final answer
    x = 200,968.96

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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.