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Finding the Fourth Proportional to 212,852.90, 319,322.55 and 72,625.70

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Solution

The fourth proportional to 212,852.90, 319,322.55 and 72,625.70 is: 108,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852.90 : 319,322.55 = 72,625.70 : x
  2. Step 2: Convert to fraction form
    212,852.90/319,322.55 = 72,625.70/x
  3. Step 3: Cross multiply
    212,852.90x = 319,322.55 × 72,625.70
  4. Step 4: Simplify right side
    212,852.90x = 23,191,023,719.54
  5. Step 5: Solve for x
    x = 23,191,023,719.54/212,852.90
  6. Step 6: Final answer
    x = 108,953.29

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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.