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Finding the Fourth Proportional to 253,128.77, 349,317.59 and 138,408

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Solution

The fourth proportional to 253,128.77, 349,317.59 and 138,408 is: 191,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,128.77 : 349,317.59 = 138,408 : x
  2. Step 2: Convert to fraction form
    253,128.77/349,317.59 = 138,408/x
  3. Step 3: Cross multiply
    253,128.77x = 349,317.59 × 138,408
  4. Step 4: Simplify right side
    253,128.77x = 48,348,348,304.68
  5. Step 5: Solve for x
    x = 48,348,348,304.68/253,128.77
  6. Step 6: Final answer
    x = 191,002.98

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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.