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Finding the Fourth Proportional to 171,385.31, 236,483.57 and 107,678

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Solution

The fourth proportional to 171,385.31, 236,483.57 and 107,678 is: 148,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,385.31 : 236,483.57 = 107,678 : x
  2. Step 2: Convert to fraction form
    171,385.31/236,483.57 = 107,678/x
  3. Step 3: Cross multiply
    171,385.31x = 236,483.57 × 107,678
  4. Step 4: Simplify right side
    171,385.31x = 25,464,077,312.07
  5. Step 5: Solve for x
    x = 25,464,077,312.07/171,385.31
  6. Step 6: Final answer
    x = 148,577.95

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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.