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Finding the Fourth Proportional to 103,292.88, 142,548.84 and 80,898

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Solution

The fourth proportional to 103,292.88, 142,548.84 and 80,898 is: 111,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,292.88 : 142,548.84 = 80,898 : x
  2. Step 2: Convert to fraction form
    103,292.88/142,548.84 = 80,898/x
  3. Step 3: Cross multiply
    103,292.88x = 142,548.84 × 80,898
  4. Step 4: Simplify right side
    103,292.88x = 11,531,916,058.32
  5. Step 5: Solve for x
    x = 11,531,916,058.32/103,292.88
  6. Step 6: Final answer
    x = 111,642.89

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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.