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Finding the Fourth Proportional to 253,268.64, 379,762.68 and 103,614

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Solution

The fourth proportional to 253,268.64, 379,762.68 and 103,614 is: 155,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,268.64 : 379,762.68 = 103,614 : x
  2. Step 2: Convert to fraction form
    253,268.64/379,762.68 = 103,614/x
  3. Step 3: Cross multiply
    253,268.64x = 379,762.68 × 103,614
  4. Step 4: Simplify right side
    253,268.64x = 39,348,730,325.52
  5. Step 5: Solve for x
    x = 39,348,730,325.52/253,268.64
  6. Step 6: Final answer
    x = 155,363.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.