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Finding the Fourth Proportional to 233,215.80, 349,655.34 and 90,940.50

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Solution

The fourth proportional to 233,215.80, 349,655.34 and 90,940.50 is: 136,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,215.80 : 349,655.34 = 90,940.50 : x
  2. Step 2: Convert to fraction form
    233,215.80/349,655.34 = 90,940.50/x
  3. Step 3: Cross multiply
    233,215.80x = 349,655.34 × 90,940.50
  4. Step 4: Simplify right side
    233,215.80x = 31,797,831,447.27
  5. Step 5: Solve for x
    x = 31,797,831,447.27/233,215.80
  6. Step 6: Final answer
    x = 136,345.10

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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.