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Finding the Fourth Proportional to 194,872.90, 292,309.35 and 155,215.30

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Solution

The fourth proportional to 194,872.90, 292,309.35 and 155,215.30 is: 232,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,872.90 : 292,309.35 = 155,215.30 : x
  2. Step 2: Convert to fraction form
    194,872.90/292,309.35 = 155,215.30/x
  3. Step 3: Cross multiply
    194,872.90x = 292,309.35 × 155,215.30
  4. Step 4: Simplify right side
    194,872.90x = 45,370,883,453.06
  5. Step 5: Solve for x
    x = 45,370,883,453.06/194,872.90
  6. Step 6: Final answer
    x = 232,822.95

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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.